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Aspect of category theory
A coequalizer is the colimit of a diagram consisting of two objects X and Y and two parallel morphisms f, g : X → Y. More explicitly, a coequalizer of
Coequalizer
Theorem in category theory
split coequalizer sequence in D is itself a coequalizer sequence in C. In different words, U creates (preserves and reflects) U-split coequalizer sequences
Beck's_monadicity_theorem
Most general completion of a commutative square given two morphisms with same domain
are coequalizers and coproducts; Pushouts can be constructed from coproducts and coequalizers, as described below (the pushout is the coequalizer of the
Pushout_(category_theory)
Mathematical category with finite limits and coequalizers
complete. If f : X → Y is a morphism in C, and is a pullback, then the coequalizer of p0, p1 exists. The pair (p0, p1) is called the kernel pair of f. Being
Regular_category
Quotient space of a codomain of a linear map by the map's image
zero morphisms. The cokernel of a morphism f : X → Y is defined as the coequalizer of f and the zero morphism 0XY : X → Y. Explicitly, this means the following
Cokernel
Surjective homomorphism
be regular if it is a coequalizer of some pair of parallel morphisms. An epimorphism f is said to be strict if it is a coequalizer of every pair of morphisms
Epimorphism
Category whose objects are measurable spaces and whose morphisms are measurable maps
set-theoretic equalizer. Dually, the coequalizer is given by placing the quotient sigma-algebra on the set-theoretic coequalizer. Direct limits and inverse limits
Category_of_measurable_spaces
President of the United States from 1861 to 1865
Hampton Roads. Lincoln refused to negotiate with the Confederacy as a coequal, and the only agreement reached at the meeting concerned the exchange of
Abraham_Lincoln
Language avoiding bias towards a sex or social gender
gender-specific to refer to roles or professions, formation of phrases in a coequal manner, and discontinuing the collective use of male or female terms. For
Gender-neutral_language
Highest court of jurisdiction in the U.S
Marshall sought to do away with this practice to help build the Court into a coequal branch. Suddath, Claire (December 19, 2008). "A Brief History of Impeachment"
Supreme Court of the United States
Supreme_Court_of_the_United_States
Topics referred to by the same term
(disambiguation) Trinity, the Christian doctrine of one God existing in three coequal, coeternal, consubstantial divine persons This disambiguation page lists
Three_body
Type of crime family
closely enough with the Five Families that it appears to be a peer or near coequal of the families. Various criminal organizations have been deemed the "Sixth
Sixth_Family
U.S. state
executive branch, while legislative authority vests in a separate but coequal legislature. Meanwhile, judicial power is constitutionally guaranteed to
Massachusetts
Generalized object in category theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Product_(category_theory)
Supreme legal document of India since 1950
representatives in the Council of States. On most topics the Rajya Sabha is coequal with the lower house or Lok Sabha, and its consent is required for a bill
Constitution_of_India
Mormon. Barb becomes fed up with interning. She claims that women are coequal with men in their relationship to God and believes herself to be a priesthood
List_of_Big_Love_episodes
establishing the Consulate (10 November 1799 – 18 May 1804). While initially a coequal of the other Consuls, Napoleon quickly set himself up as "First Consul
List of prime ministers of France
List_of_prime_ministers_of_France
Structure of the U.S. Space Force
space deltas, and squadrons. The Space Force is organized as one of two coequal military service branches within the Department of the Air Force, the other
Structure of the United States Space Force
Structure_of_the_United_States_Space_Force
Type of category in category theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Cartesian_closed_category
Overview of and topical guide to category theory
theory)/fiber product Inverse limit Pro-finite group Colimit Coproduct Coequalizer Cokernel Pushout (category theory) Direct limit Biproduct Direct sum
Outline_of_category_theory
Object in category theory
that z and s form a coproduct diagram for NNOs; also, !N : N → 1 is a coequalizer of s and 1N, i.e., every pair of global elements of N are connected by
Natural_numbers_object
action of the universal properties of the above on morphisms; equalizers, coequalizers, exponentials, image factorizations. You can help by adding missing information
Effective_topos
Combined military forces of the United States
Department of the Air Force) are civilian led entities that oversee the coequal military service branches organized within each department. The military
United_States_Armed_Forces
head of government retains executive power. The two co-princes serve coequally with limited powers that do not include an individual veto over government
Politics_of_Andorra
Generalization of equivalence classes to scheme theory
equivalence relation f : R → X × X {\displaystyle f:R\to X\times X} is a coequalizer for the pair of maps R → f X × X → pr i X , i = 1 , 2 , {\displaystyle
Quotient by an equivalence relation
Quotient_by_an_equivalence_relation
General theory of mathematical structures
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Category_theory
American public research university
major institution in its own right. In 1951, UCLA was formally elevated to coequal status with UC Berkeley, with both institutions headed by chancellors who
University of California, Los Angeles
University_of_California,_Los_Angeles
1993 UK local government election
year of the Council, with the three main party groups being briefed on a coequal basis. Following a by-election gain by the Liberal Democrats from the Conservatives
1993 Wiltshire County Council election
1993_Wiltshire_County_Council_election
Fossilised organism
The diameter of the bodies and the spaces between each one is almost coequal, and the number of bodies within a given series decreases when they grow
Horodyskia
Higher categorical generalization of a topos
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
∞-topos
Early Christian and Jewish religious systems
classic Gnostic movements. Radical dualism, or absolute dualism, posits two coequal divine forces, while in mitigated dualism one of the two principles is
Gnosticism
U.S. state
codifying segregation and racism. Alabama's government is divided into three coequal branches. The legislative branch is the Alabama Legislature, a bicameral
Alabama
German royal family and dynasty
exclusive primogeniture in the male line as well as marriage restrictions on coequal level. In 1867 the House created the Royal Dukedom of Urach for a younger
House_of_Württemberg
Category of non-empty finite ordinals and order-preserving maps
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Simplex_category
High-ranking church official
Empire (Reichsfürst), holding a direct vote in the Imperial Diet assembly coequal to an actual Prince-abbot, as in each case treated below. The monastery
Prince-provost
Government in British America
unlimited, while the American position was that colonial legislatures were coequal with Parliament and outside of its jurisdiction. As the revolution progressed
Colonial government in the Thirteen Colonies
Colonial_government_in_the_Thirteen_Colonies
In mathematics, invertible homomorphism
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Isomorphism
Applications of category theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Applied_category_theory
Military department for the Navy and Marine Corps, U.S. Department of Defense
Coast Guard (USCG). These branches remain at all times independent and coequal service branches within the DON. It is led by the secretary of the Navy
United States Department of the Navy
United_States_Department_of_the_Navy
Object within another object of the same category
class of "regular epimorphisms" (morphisms which can be expressed as a coequalizer of two morphisms) This definition corresponds to the ordinary understanding
Subobject
Mathematical concept
{\displaystyle \mathbf {C} } is small, then the coend can be described as the coequalizer in the diagram ∫ c S ( c , c ) ← ∐ c ∈ C S ( c , c ) ⇇ ∐ c → c ′ S (
End_(category_theory)
the trading posts of VOC within the Indian subcontinent). Bharat is a coequal name of India, as set down in Article 1 of the Constitution, adopted in
Names_of_India
Mathematical category
relation on the set Hom(Y, X). Since C has colimits we may form the coequalizer of the two maps R → X; call this X/R. The equivalence relation is "effective"
Topos
Category-theoretic construction
the product, this functor is covariant. Product Limits and colimits Coequalizer Direct limit Qiaochu Yuan (June 23, 2012). "Banach spaces (and Lawvere
Coproduct
Structure of the Bangladesh Army
command, 1 logistics command and 10 area commands consigned with their coequal divisions. The training command is also the doctrine body of the army and
List of formations of the Bangladesh Army
List_of_formations_of_the_Bangladesh_Army
Space service branch of the U.S. military
part of the Department of the Air Force alongside the U.S. Air Force, a coequal service. The Department of the Air Force is headed by the civilian secretary
United_States_Space_Force
American social-political scandal
finances, especially in a frontier economy where kinship networks were coequal with business relationships, were concerning to his in-laws. Further to
Robards–Donelson–Jackson relationship controversy
Robards–Donelson–Jackson_relationship_controversy
Court with jurisdiction over disputes with some connection to a U.S. state
implied and others later developed the idea that American judges were coequal to legislatures and executives in their responsibility to carry out the
State_court_(United_States)
Concept in mathematics
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Tensor–hom_adjunction
Maritime service branch of the U.S. military
policy. The Navy is part of the Department of the Navy, alongside the coequal United States Marine Corps, and which is headed by the secretary of the
United_States_Navy
Category whose objects are rings and whose morphisms are ring homomorphisms
equalizer (the equalizer of two ring homomorphisms is always a subring). The coequalizer of two ring homomorphisms f and g from R to S is the quotient of S by
Category_of_rings
Mapping between categories
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Functor
Category whose objects are topological spaces and whose morphisms are continuous maps
set-theoretic equalizer. Dually, the coequalizer is given by placing the quotient topology on the set-theoretic coequalizer. Direct limits and inverse limits
Category of topological spaces
Category_of_topological_spaces
Fiber bundle
principal bundle P {\displaystyle P} . In category theory, this is the coequalizer construction. There are two continuous maps P × G × F → P × F {\displaystyle
Associated_bundle
American actor and military officer (1908–1997)
personality of the alter ego." Bingham has described him as having "two coequal personas; the earnest idealist, the nostalgic figure of the homespun boy
James_Stewart
Siege of Rome during the Gothic War
in advance of the Lazic War (541–562). Belisarius was replaced by three coequal commanders, whose rivalry and corruption led to indiscipline and plundering
Sack_of_Rome_(546)
Indexed collection of objects and morphisms in a category
Y)} is then a quiver; its limit is an equalizer, and its colimit is a coequalizer. If J is a poset category, then a diagram of type J is a family of objects
Diagram_(category_theory)
Theorem in category theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Lawvere's_fixed-point_theorem
Construction in category theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Inverse_limit
category with one object whose morphisms are the elements of R. coequalizer The coequalizer of a pair of morphisms f , g : A → B {\displaystyle f,g:A\to
Glossary_of_category_theory
but destined to be Alexander's successor, defined the co-eternity and coequality of the Father and the Son, using the now famous term homoousios to express
Diversity in early Christian theology
Diversity_in_early_Christian_theology
Mathematical concept
diagrams from discrete categories. Coequalizers are colimits of a parallel pair of morphisms. Cokernels are coequalizers of a morphism and a parallel zero
Limit_(category_theory)
Three-volume work by Karl Marx, 1867–1894
capitalist mode of production. It presents capital, land, and labour as coequal, independent sources of wealth, obscuring the fact that profit and rent
Das_Kapital
In mathematics, collection of classes
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Conglomerate_(mathematics)
Category admitting tensor products
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Monoidal_category
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Lift_(mathematics)
Constructs a fiber bundle from a base space, fiber and a set of transition functions
tij are all smooth. Existence is proven constructively by the standard coequalizer construction in category theory. Take the disjoint union of the product
Fiber bundle construction theorem
Fiber_bundle_construction_theorem
Category in which all small limits exist
and products. Dually, a category is cocomplete if and only if it has coequalizers and all (small) coproducts, or, equivalently, pushouts and coproducts
Complete_category
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Smooth_functor
Empress regnant of China from 690 to 705
governmental offices and banners. Wu elevated Luoyang's status, making it a coequal capital. At her nephew Wu Chengsi's suggestion, she expanded the shrine
Wu_Zetian
Category with direct sums and certain types of kernels and cokernels
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Abelian_category
Assemblies of the Roman people
republic. The plebeian council, on the other hand, was formed and became coequal with the other assemblies over the course of the Conflict of the Orders
Roman_assemblies
5th-century papal bull to Flavian of Constantinople
heretics are shattered." Leo recounts the Church's doctrine regarding the coequal nature of God the Father and God the Son. Bespeaking the necessity of the
Leo's_Tome
Map (arrow) between two objects of a category
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Morphism
Embedding of categories into functor categories
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Yoneda_lemma
Vice President of the United States from 2001 to 2009
S. version of the office of prime minister, subordinate to, but almost coequal of, the presidency itself". Cheney had a "commanding [hand], in implementing
Dick_Cheney
Military political officer in Communist countries
commissar was a high-ranking functionary at a military headquarters who held coequal rank and authority with the military commander of the unit. The Bolshevik
Commissar
Mathematical construction used in homotopy theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Simplicial_set
Legendary author of the Hermetica
periods. The renowned scribe Amenhotep and a wise man named Teôs were coequal deities of wisdom, science, and medicine; and, thus, they were placed alongside
Hermes_Trismegistus
Category theory concept
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Overcategory
Mosque in Abuja, Federal Capital Territory, Nigeria
Imams who were hitherto addressed as Deputy Chief Imams were appointed as coequal Imams of National Mosque to assist the Murshid. They are Prof. Ibrahim
Abuja_National_Mosque
2021 US presidential impeachment
system, interfered with the peaceful transition of power, and imperiled a coequal branch of Government", doing so in a way that rendered him "a threat to
Second impeachment of Donald Trump
Second_impeachment_of_Donald_Trump
[interfering] with the peaceful transition of power, and [imperiling] a coequal branch of government" Adopted by the House by a vote of 232–197 on January
List of impeachment resolutions introduced against Donald Trump
List_of_impeachment_resolutions_introduced_against_Donald_Trump
Mathematical object that generalizes the standard notions of sets and functions
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Category_(mathematics)
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Tetracategory
Abstract mathematics relationship
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Equivalence_of_categories
Western half of the Roman Empire (395–476)
imperial court. Particularly from AD 395 to 476, there were separate, coequal courts dividing the governance of the empire into western and eastern provinces
Western_Roman_Empire
Algebraic geometry category satisfying lifting conditions
identity group element of G(U). Then the above canonical map fits into a 2-coequalizer (a 2-quotient): X × G ⇉ t s X → π F {\displaystyle X\times G{\overset
Prestack
Christian statement of belief focused on Trinitarian doctrine and Christology
or less than another. But the whole three Persons are coeternal, and coequal. So that in all things, as aforesaid; the Unity in Trinity, and the Trinity
Athanasian_Creed
1986 studio album by Billy Joel
literal: failed wise guy in 'Big Man on Mulberry Street,' Ray Charles's coequal on 'Baby Grand.' And even at his most rockin' he's seventy-five years retro
The_Bridge_(Billy_Joel_album)
Mathematical concept
are limits. Then, one uses a presentation of filtered colimits as a coequalizer (which is a finite colimit) of an infinite coproduct. The compact objects
Compact_object_(mathematics)
Relation of categories in category theory
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
Isomorphism_of_categories
Concept in Judaism
perceive a singular God). In general, Jews reject any conception of a coequal, multi-person godhead; anything but an absolute monotheism is contrary
Shituf
First-level administrative division in various countries
nine of the 85 federal subjects are called krais (Russian: края, kraya), coequal to oblasts. The toponym Krajina refers to several historical regions in
Kraj
Dependency of England and then of Great Britain (1542–1800)
of England became "King of Ireland", theoretically elevating Ireland to coequal status with England, as a kingdom in personal union. There followed an
Kingdom_of_Ireland
Elements taken to zero by a homomorphism
{\displaystyle \pi } from the category to its quotient category acting as the coequalizer of the two projection functors. A functor F : C → D {\displaystyle F:{\mathbf
Kernel_(algebra)
Federal building in Washington, D.C.
keeping with the importance and dignity of the Court and the Judiciary as a coequal, independent branch of the United States Government, and as a symbol of
United States Supreme Court Building
United_States_Supreme_Court_Building
Type of administrative subdivision in Francophone countries
These are normally subunits of a department and may either contain or be coequal with communes (towns). In Mali the arrondissement is a subunit of a cercle
Arrondissement
Topological construct
map), glue the two trivial bundles together via f. Formally, it is the coequalizer of the inclusions S n − 1 × F → D + n × F ∐ D − n × F {\displaystyle
Clutching_construction
Generalization of category
Kernels Pullbacks Inverse limit Colimits Initial objects Coproducts Coequalizers Cokernels and quotients Pushout Direct limit Algebraic categories Sets
2-category
COEQUALIZER
COEQUALIZER
COEQUALIZER
COEQUALIZER
Boy/Male
Tamil
Murugu | à®®à¯à®°à¯à®•à¯à®‚Â
Lord Murugan name, Youth, Handsome
Surname or Lastname
English
English : variant of Dean or Dence.French (Dané) : ethnic name for someone from Denmark.Dutch : variant spelling of Daane.Irish : Anglicized form of Gaelic Ó Déaghain ‘descendant of the dean’, but also of English origin, a variant of Dean.Hungarian (Dáné) : from the personal name Dániel, Hungarian form of Daniel.
Girl/Female
American, British, English
Youthful; Jove's Child; Variant of Gillian from the Masculine Julian
Surname or Lastname
English
English : habitational name a place in Wiltshire named Westrop, from Old English west ‘west’ + þrop ‘village’, or perhaps from Westrip in Gloucestershire or Westhorpe in Buckinghamshire, both having the same origin as the place in Wiltshire.
Boy/Male
Muslim
Prince
Surname or Lastname
English
English : variant of Stevens.
Boy/Male
Tamil
Gyan Karthik | ஜà¯à®žà®¾à®¨ காரà¯à®¤à¯€à®•Â
Lord Shiva
Boy/Male
Indian, Sanskrit
The Conscious
Boy/Male
Tamil
Female
Russian
(Bulgarian ТатÑна, Russian: ТатьÑÌна): Bulgarian and Russian form of Latin Tatiana, probably TATYANA means "father."
COEQUALIZER
COEQUALIZER
COEQUALIZER
COEQUALIZER
COEQUALIZER