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Property of topological space
topology and related fields of mathematics, a topological space X is called a regular space if every closed set C of X and a point p not contained in
Regular_space
Type of regular Hausdorff space
Tychonoff spaces and completely regular spaces are kinds of topological spaces. These conditions are examples of separation axioms. A Tychonoff space is any
Tychonoff_space
Topics referred to by the same term
Regular space (or T 3 {\displaystyle T_{3}} ) space, a topological space in which a point and a closed set can be separated by neighborhoods Regular army
Regular
Season of television series
of the American animated comedy television series Regular Show (promoted as Regular Show in Space), created by J. G. Quintel, originally aired on Cartoon
Regular_Show_season_8
Type of topological space
Hausdorff. Every regular second-countable space is completely normal, and every regular Lindelöf space is normal. Also, all fully normal spaces are normal (even
Normal_space
Curve whose range contains the unit square
In mathematical analysis, a space-filling curve is a curve whose range reaches every point in a higher dimensional region, typically the unit square (or
Space-filling_curve
Axioms in topology defining notions of "separation"
separated by a continuous function. Every completely Hausdorff space is also T2½. X is regular if, given any point x and closed set F in X such that x does
Separation_axiom
Sequence of characters that forms a search pattern
A regular expression (shortened as regex or regexp), sometimes referred to as a rational expression, is a sequence of characters that specifies a match
Regular_expression
Type of topological space in mathematics
call locally compact. Spaces satisfying condition (4) are exactly the locally compact regular spaces. Indeed, such a space is regular, as every point has
Locally_compact_space
American animated sitcom
Regular Show (known as Regular Show in Space during its eighth season) is an American animated sitcom created by J. G. Quintel for Cartoon Network. It
Regular_Show
Type of topological space
mathematics, a Hausdorff space (/ˈhaʊsdɔːrf/ HOWSS-dorf, /ˈhaʊzdɔːrf/ HOWZ-dorf), T2 space or separated space, is a topological space where distinct points
Hausdorff_space
This article lists the regular polytopes in Euclidean, spherical and hyperbolic spaces. This table shows a summary of regular polytope counts by rank.
List_of_regular_polytopes
Space character about 1/5 em wide
In typography, a thin space is a space character whose width is usually 1⁄5 or 1⁄6 of an em. It is used to add a narrow space, such as between nested
Thin_space
point-set topology, a Moore space is a developable regular Hausdorff space. That is, a topological space X is a Moore space if the following conditions
Moore_space_(topology)
Mathematical measure for topological spaces
In mathematics, a regular measure on a topological space is a measure for which every measurable set can be approximated from above by open measurable
Regular_measure
Topological space that is homeomorphic to a metric space
metrization theorem. This states that every Hausdorff second-countable regular space is metrizable. So, for example, every second-countable manifold is metrizable
Metrizable_space
Tessellation of Euclidean space
A regular grid is a tessellation of n-dimensional Euclidean space by congruent parallelotopes (e.g. bricks). Its opposite is irregular grid. Grids of
Regular_grid
Any of the five regular polyhedra
geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent
Platonic_solid
Spacey McSpaceTree (voiced by Steve Little) is a minor character in Regular Show. He made his debut in the Season Eight episodes "Spacey McSpaceTree" and
List of Regular Show characters
List_of_Regular_Show_characters
Geometric space with four dimensions
complexity of 4D spaces emerge. A hint of that complexity can be seen in the accompanying 2D animation of one of the simplest possible regular 4D objects,
Four-dimensional_space
two knots in 3-space are equivalent by regular homotopy, though not by isotopy. The Whitney–Graustein theorem classifies the regular homotopy classes
Regular_homotopy
Topological space whose topology has a countable base
second-countable space, also called a completely separable space, is a topological space whose topology has a countable base. More explicitly, a topological space T
Second-countable_space
Type of continuous map in topology
projection is a map between topological spaces that, intuitively, locally acts like a projection of multiple copies of a space onto itself. In particular, coverings
Covering_space
Blank area that separates text
(thin space) or 1000000 not 1,000,000 or 1.000.000 1 000 000 000 000 (regular space which is significantly wider) Sometimes a narrow non-breaking space or
Space_(punctuation)
Representation theory of groups
For a finite group G, the left regular representation λ (over a field K) is a linear representation on the K-vector space V freely generated by the elements
Regular_representation
Solid with eight equal triangular faces
more generally, a regular polyhedron. If the faces are isosceles triangles, the regular octahedron becomes a square bipyramid. The regular octahedron is an
Regular_octahedron
Formal language that can be expressed using a regular expression
sometimes referred to as REGULAR or REG and equals DSPACE(O(1)), the decision problems that can be solved in constant space (the space used is independent
Regular_language
On topological spaces where the intersection of countably many dense open sets is dense
locally compact Hausdorff space is a Baire space. More generally, every locally compact regular space is a Baire space. Neither of these statements directly
Baire_category_theorem
Four-dimensional analogue of the cube
Zeit. 200 (1988) 3–45] Gosset, Thorold (1900). "On the Regular and Semi-Regular Figures in Space of n Dimensions". Messenger of Mathematics. Macmillan
Tesseract
Polyhedron with regular congruent polygons as faces
A regular polyhedron is a polyhedron with regular and congruent polygons as faces. Its symmetry group acts transitively on its flags. A regular polyhedron
Regular_polyhedron
Japanese manga series by Q Hayashida
Entertainment. Taking place in outer space, which is divided between a "Regular Realm" and a "Dark Realm". The regular world is inhabited by two races: Aliens
Dai_Dark
Solid with four equal triangular faces
A regular tetrahedron is a polyhedron with four equilateral triangular faces. A regular tetrahedron is a tetrahedron (that is, a four-sided polyhedron)
Regular_tetrahedron
Official army of a state or country
A regular army is the official army of a state or country (the official armed forces), contrasting with irregular forces, such as volunteer irregular
Regular_army
Characterizes when a topological space is metrizable
topological space is metrizable. The theorem states that a topological space X {\displaystyle X} is metrizable if and only if it is regular and has a countably
Nagata–Smirnov metrization theorem
Nagata–Smirnov_metrization_theorem
Only regular space-filling tessellation of the cube
or cubic cellulation is the only proper regular space-filling tessellation (or honeycomb) in Euclidean 3-space made up of cubic cells. It has 4 cubes around
Cubic_honeycomb
Polytope with highest degree of symmetry
hyperbolic space with dodecahedra. Such a tessellation forms an example of an infinite abstract regular polytope. Normally, for abstract regular polytopes
Regular_polytope
Geometric space with five dimensions
five-dimensional space. List of regular 5-polytopes — regular geometric shapes that exist in five-dimensional space. Four-dimensional space — a foundational
Five-dimensional_space
American space and aeronautics agency
Aeronautics and Space Administration (NASA /ˈnæsə/) is an independent agency of the U.S. federal government responsible for the United States' civil space program
NASA
Four-dimensional analogues of the regular polyhedra in three dimensions
mathematics, a regular 4-polytope or regular polychoron is a regular four-dimensional polytope. They are the four-dimensional analogues of the regular polyhedra
Regular_4-polytope
Solid with 12 equal pentagonal faces
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron (a polyhedron with 12 faces) composed of regular pentagonal faces, three meeting at
Regular_dodecahedron
Faster-than-light travel in science fiction
Waters of Eternity (1953) features hyperspace that allows observation of regular space from within. Many stories feature hyperspace as a dangerous, treacherous
Hyperspace
Polygonal chain whose vertices are not all coplanar
respectively. A regular skew polyhedron has regular polygon faces, and a regular skew polygon vertex figure. Three infinite regular skew polyhedra are space-filling
Skew_polygon
Tiling of euclidean or hyperbolic space of three or more dimensions
copies can fill space, with the cubic honeycomb being special because it is the only regular honeycomb in ordinary (Euclidean) space. Another family is
Honeycomb_(geometry)
A subset S {\displaystyle S} of a topological space X {\displaystyle X} is called a regular open set if it is equal to the interior of its closure; expressed
Regular_open_set
Topological space which is a generalization of certain compact spaces
topological space is locally finite iff its a locally finite cover of the underlying locale. Every compact space is paracompact. Every regular Lindelöf space is
Paracompact_space
Topological space with a notion of uniform properties
space. The topology of a uniformizable space is always a symmetric topology; that is, the space is an R0-space. Conversely, each completely regular space
Uniform_space
entire space X. Tychonoff A Tychonoff space (or completely regular Hausdorff space, completely T3 space, T3.5 space) is a completely regular T0 space. (A
Glossary_of_general_topology
Type of mathematical measure
of a Hausdorff topological space X that is finite on all compact sets, outer regular on all Borel sets, and inner regular on open sets. These conditions
Radon_measure
2006 American crewed spaceflight to the ISS
mission. Its successful launch and landing led NASA to fully resume regular Space Shuttle launches in the construction of the ISS. Thomas Reiter's position
STS-121
In the geometry of hyperbolic 3-space, the order-7-3 triangular honeycomb (or 3,7,3 honeycomb) is a regular space-filling tessellation (or honeycomb)
Order-7-3 triangular honeycomb
Order-7-3_triangular_honeycomb
Equiangular and equilateral polygon
generally regular skew polygons can be defined in n-space. Examples include the Petrie polygons, polygonal paths of edges that divide a regular polytope
Regular_polygon
In the geometry of hyperbolic 3-space, the order-8-3 triangular honeycomb (or 3,8,3 honeycomb) is a regular space-filling tessellation (or honeycomb)
Order-8-3 triangular honeycomb
Order-8-3_triangular_honeycomb
Boundary condition for generalized functions
\Omega }} for sufficiently regular u {\textstyle u} . The trace operator can be defined for functions in the Sobolev spaces W 1 , p ( Ω ) {\textstyle W^{1
Trace_operator
Infinite regular skew polyhedron
Euclidean space, but they were the only skew polyhedra in 3-space as there Coxeter showed there were no finite cases. In 1967 Garner investigated regular skew
Regular_skew_apeirohedron
Regular Show is an American animated sitcom created by J. G. Quintel for Cartoon Network that aired from September 6, 2010, to January 16, 2017. The series
List_of_Regular_Show_episodes
Award
deterrence operations. Officer and enlisted personnel in the Regular Air Force, Regular Space Force, Air Force Reserve, and Air National Guard communities
Nuclear Deterrence Operations Service Medal
Nuclear_Deterrence_Operations_Service_Medal
Television anime
Star Blazers 2199, known in Japan as Space Battleship Yamato 2199 (宇宙戦艦ヤマト2199, Uchū Senkan Yamato Ni-ichi-kyū-kyū), is a 2012–2013 Japanese military
Star Blazers: Space Battleship Yamato 2199
Star_Blazers:_Space_Battleship_Yamato_2199
Polyhedron with four faces
Regular tetrahedra, however, cannot fill space by themselves (moreover, it is not scissors-congruent to any other polyhedra which can fill the space,
Tetrahedron
icositetrachoric honeycomb is a regular space-filling tessellation (or honeycomb) of 4-dimensional Euclidean space by regular 24-cells. It can be represented
24-cell_honeycomb
Polyhedron with non-planar faces
4-dimensional regular polyhedra, and much later Branko Grünbaum looked at regular skew faces. Infinite regular skew polyhedra that span 3-space or higher
Regular_skew_polyhedron
uniformizable. Every completely uniformizable space is uniformizable and thus completely regular. A completely regular space X is completely uniformizable if and
Completely uniformizable space
Completely_uniformizable_space
In the geometry of hyperbolic 3-space, the order-7 dodecahedral honeycomb is a regular space-filling tessellation (or honeycomb). With Schläfli symbol
Order-7 dodecahedral honeycomb
Order-7_dodecahedral_honeycomb
Well-behaved sequence in a commutative ring
polynomial ring C[x, y, z], while y(1-x), z(1-x), x is not a regular sequence. Geometrically, in xyz-space C3, successively intersecting the varieties V(x), V(y(1-x))
Regular_sequence
US 1998 television series
Power Rangers in Space is a television series and the fifth entry of the Power Rangers franchise, based on the 21st Super Sentai series Denji Sentai Megaranger
Power_Rangers_in_Space
Subdivision of the plane into polygons that are all regular
be used to completely tile the plane by regular polygons with no gaps or overlaps – they only tessellate space entirely when irregular polygons are included
Euclidean tilings by convex regular polygons
Euclidean_tilings_by_convex_regular_polygons
Matroid that can be represented over all fields
vector spaces over different fields lead to different sets of matroids that can be constructed from them. A matroid M {\displaystyle M} is regular when
Regular_matroid
axioms for accessible spaces, Hausdorff spaces, regular spaces, and normal spaces. Topologists assigned these classes of spaces the names T1, T2, T3,
History of the separation axioms
History_of_the_separation_axioms
Regular tiling of hyperbolic 3-space
icosahedral honeycomb is one of four compact, regular, space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli symbol {3,5,3}, there are
Icosahedral_honeycomb
Property of topological space
a Gδ space is a Gδ space. Every metrizable space is a Gδ space. The same holds for pseudometrizable spaces. Every second countable regular space is a
Gδ_space
Geometric space with eight dimensions
Algebra of physical space (not to be confused with the Spacetime algebra, which is 16-dimensional.) H.S.M. Coxeter: H.S.M. Coxeter, Regular Polytopes, 3rd
Eight-dimensional_space
Concept in mathematics
locally ringed space. When this definition is used, a morphism of varieties is just a morphism of locally ringed spaces. The composition of regular maps is again
Morphism of algebraic varieties
Morphism_of_algebraic_varieties
Mathematical property of a space
disjoint neighbourhoods. T3 or Regular Hausdorff. A space is regular Hausdorff if it is a regular T0 space. (A regular space is Hausdorff if and only if
Topological_property
Concept in probability theory
In probability theory, regular conditional probability is a concept that formalizes the notion of conditioning on the outcome of a random variable. The
Regular conditional probability
Regular_conditional_probability
Concept in topology
Baire space. (BCT2) Every locally compact regular space is a Baire space. In particular, every locally compact Hausdorff space is a Baire space. BCT1
Baire_space
random r-regular graph is a graph selected from G n , r {\displaystyle {\mathcal {G}}_{n,r}} , which denotes the probability space of all r-regular graphs
Random_regular_graph
2015 film by J. G. Quintel
Regular Show: The Movie is a 2015 American animated science fiction comedy film set within the series of the same name. Produced by Cartoon Network Studios
Regular_Show:_The_Movie
Topics referred to by the same term
Half-space (punctuation), a spacing character half the width of a regular space Half-space model (oceanography), an estimate for seabed height in areas without
Half-space
1999 film by Mike Judge
Office Space is a 1999 American satirical black comedy film written and directed by Mike Judge. It satirizes the office work life of a typical 1990s software
Office_Space
Air and space warfare branch of France's armed forces
and Space Force employs a total of 40,500 regular personnel, with a reserve element of 5,187 in 2014. The Chief of Staff of the French Air and Space Force
French_Air_and_Space_Force
Topics referred to by the same term
planned city on Odaiba, reclaimed land in Tokyo Bay Axiom T3, or T3 space, regular space in topology and related fields of mathematics T3 Technion Technology
T3
match the 117° dihedral angle of a regular dodecahedron in Euclidean space, but in hyperbolic space there exist regular dodecahedra with any dihedral angle
Seifert–Weber_space
In the geometry of hyperbolic 3-space, the order-4-3 pentagonal honeycomb or 5,4,3 honeycomb is a regular space-filling tessellation (or honeycomb). Each
Order-4-3 pentagonal honeycomb
Order-4-3_pentagonal_honeycomb
Mathematical category with finite limits and coequalizers
are not regular: Top, the category of topological spaces and continuous functions Cat, the category of small categories and functors In a regular category
Regular_category
Compact regular space-filling tessellation
In the geometry of hyperbolic 4-space, the order-5 5-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli
Order-5_5-cell_honeycomb
In the geometry of hyperbolic 3-space, the order-3-6 heptagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists
Order-3-6 heptagonal honeycomb
Order-3-6_heptagonal_honeycomb
Type of ring in commutative algebra
\{a_{1},\ldots ,a_{n}\}} are then called a regular system of parameters. The dimension of its Zariski tangent space is equal to its Krull dimension; that is
Regular_local_ring
In the geometry of hyperbolic 4-space, the cubic honeycomb honeycomb is one of two paracompact regular space-filling tessellations (or honeycombs). It
Cubic_honeycomb_honeycomb
American online magazine
the current editor, publisher and regular writer. Other regular writers include: John K. Strickland, National Space Society, Board of Directors Brian
The_Space_Review
Form of topological spaces
Hausdorff space is Urysohn and every Urysohn space is Hausdorff. One can also show that every regular Hausdorff space is Urysohn and every Tychonoff space (=completely
Urysohn and completely Hausdorff spaces
Urysohn_and_completely_Hausdorff_spaces
refinement is not required to be open. Every paracompact space is a-paracompact, and in regular spaces the two notions coincide. Willard, Stephen (2004). General
A-paracompact_space
Cauchy-continuous, or Cauchy-regular, function is a special kind of continuous function between metric spaces (or more general spaces). Cauchy-continuous functions
Cauchy-continuous_function
UK musical group
Regular Fries were an English electronica/rock group. Their style was surreal and infused with the space age. Although chart success eluded them they received
Regular_Fries
In the geometry of hyperbolic 4-space, the order-5 tesseractic honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With
Order-5_tesseractic_honeycomb
Regular space-filling tessellation
In the geometry of hyperbolic 3-space, the order-6-4 square honeycomb (or 4,6,4 honeycomb) a regular space-filling tessellation (or honeycomb) with Schläfli
Order-6-4_square_honeycomb
In the geometry of hyperbolic 3-space, the order-5-4 square honeycomb (or 4,5,4 honeycomb) a regular space-filling tessellation (or honeycomb) with Schläfli
Order-5-4_square_honeycomb
Topological space whose topology is generated by a uniform structure
topological space is uniformizable if and only if it is completely regular. One way to construct a uniform structure on a topological space X is to take
Uniformizable_space
Theory of strings with supersymmetry
string theory, consistency requires spacetime to have 10 dimensions (3D regular space + 1 time(1 time dimension is not necessary, it may be multi-dimensional
Superstring_theory
semiregular space is a topological space whose regular open sets (sets that equal the interiors of their closures) form a base for the topology. Every regular space
Semiregular_space
Multi-dimensional generalization of triangle
\dots ,k\right\}.} A regular simplex is a simplex that is also a regular polytope. A regular k-simplex may be constructed from a regular (k − 1)-simplex by
Simplex
List of concrete topologies and topological spaces
{\displaystyle \{\varnothing ,\{1\},\{0,1\}\}.} Arens–Fort space − A Hausdorff, regular, normal space that is not first-countable or compact. It has an element
List_of_topologies
REGULAR SPACE
REGULAR SPACE
Girl/Female
Muslim/Islamic
One who remembers Allah regularly
Boy/Male
Gujarati, Haryanvi, Hindu, Indian, Kannada, Marathi, Telugu
Regular; Ethical; Good in Nature
Boy/Male
Hindu, Indian, Traditional
Conduct; Regular Performance of Worship
Boy/Male
Indian, Sanskrit
Connector; Regulator
Surname or Lastname
English, of Welsh origin
English, of Welsh origin : variant of Bowen, with the addition of the regular English patronymic suffix -s.Altered spelling of Dutch Bouwens, a variant of Bauwens.
Surname or Lastname
English, of Welsh origin
English, of Welsh origin : variant of Bevan, with the addition of the regular English patronymic suffix -s.
Girl/Female
Arabic, Muslim
Pilgrimage to Makkah Other than Regular Hajj Days
Male
Spanish
Spanish form of Roman Latin Regulus, RÉGULO means "ruler."
Male
Scandinavian
Scandinavian form of German Reginar, RAGNAR means "wise warrior."
Boy/Male
Hindu, Indian, Tamil
Regular Winner
Male
Italian
Italian form of German Reginar, RANIERO means "wise warrior."
Boy/Male
Shakespearean
King Henry IV, Part 1 and 2' An irregular humorist.
Boy/Male
Shakespearean
King Henry IV, Part 1 and 2' Edward Poins, an irregular humorist.
Surname or Lastname
English
English : nickname probably for a tenant whose feudal obligations included a regular payment in cash or kind (for example bread or salt) of a halfpenny.
Girl/Female
Hebrew
Precious.
Male
German
A derivative of German Reginar, RAINER means "wise warrior."
Surname or Lastname
North German
North German : variant of Asch.English : variant spelling of Ash (asche was the regular Middle English spelling of this word).
Surname or Lastname
English (Devon)
English (Devon) : unexplained. Possibly an irregular variant of Birchall.
Girl/Female
Indian
One who remembers Allah regularly
Girl/Female
Muslim
One who remembers Allah regularly
REGULAR SPACE
REGULAR SPACE
Girl/Female
Muslim/Islamic
Flower
Boy/Male
British, English
Fortune-telling
Boy/Male
Australian, Hebrew
The Lord has Remembered
Girl/Female
Tamil
Gods gift, Ankle bells, Brightness
Girl/Female
Tamil
Madhukaitabhahantri | மதà¯à®•à¯ˆà®¤à®¾à®ªà®¾à®¹à®‚தà¯à®°à¯€
Slayer of the demon-duo Madhu and kaitabha
Boy/Male
Anglo Saxon
Announce.
Boy/Male
Hindu, Indian
Sun
Girl/Female
Irish
Vision.
Girl/Female
Hindu, Indian
One who is Always Cheerful
Girl/Female
Arabic
Religious; Pious
REGULAR SPACE
REGULAR SPACE
REGULAR SPACE
REGULAR SPACE
REGULAR SPACE
a.
Of or pertaining to a tile; resembling a tile, or arranged like tiles; consisting of tiles; as, a tegular pavement.
a.
Not regular; not bound by monastic vows or rules; not confined to a monastery, or subject to the rules of a religious community; as, a secular priest.
a.
Fig.: Lean; lank; raw-boned; ungraceful; sharp and stiff in character; as, remarkably angular in his habits and appearance; an angular female.
a.
Irregular in position; having no regular order; as, scattered leaves.
a.
Of or pertaining to the jugular vein; as, the jugular foramen.
a.
Measured by an angle; as, angular distance.
n.
One who is not regular; especially, a soldier not in regular service.
v. t.
To cause to become regular; to regulate.
adv.
In a regular manner; in uniform order; methodically; in due order or time.
a.
Having all the parts of the same kind alike in size and shape; as, a regular flower; a regular sea urchin.
n.
A secular ecclesiastic, or one not bound by monastic rules.
a.
Governed by rule or rules; steady or uniform in course, practice, or occurence; not subject to unexplained or irrational variation; returning at stated intervals; steadily pursued; orderlly; methodical; as, the regular succession of day and night; regular habits.
pl.
of Tegula
a.
Thorough; complete; unmitigated; as, a regular humbug.
a.
Constituted, selected, or conducted in conformity with established usages, rules, or discipline; duly authorized; permanently organized; as, a regular meeting; a regular physican; a regular nomination; regular troops.
pl.
of Regulus
a.
Conformed to a rule; agreeable to an established rule, law, principle, or type, or to established customary forms; normal; symmetrical; as, a regular verse in poetry; a regular piece of music; a regular verb; regular practice of law or medicine; a regular building.
a.
Belonging to a monastic order or community; as, regular clergy, in distinction dfrom the secular clergy.
a.
Not regular; not conforming to a law, method, or usage recognized as the general rule; not according to common form; not conformable to nature, to the rules of moral rectitude, or to established principles; not normal; unnatural; immethodical; unsymmetrical; erratic; no straight; not uniform; as, an irregular line; an irregular figure; an irregular verse; an irregular physician; an irregular proceeding; irregular motion; irregular conduct, etc. Cf. Regular.
n. pl.
A division of Echini which includes the circular, or regular, sea urchins.