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DOMINANT FUNCTOR

  • Dominant functor
  • In category theory, an abstract branch of mathematics, a dominant functor is a functor F : C → D in which every object of D is a retract of an object

    Dominant functor

    Dominant_functor

  • Outline of category theory
  • Overview of and topical guide to category theory

    Combinatorial species Exact functor Derived functor Dominant functor Enriched functor Kan extension of a functor Hom functor Yoneda lemma Product (category

    Outline of category theory

    Outline_of_category_theory

  • Rational mapping
  • Kind of partial function between algebraic varieties

    particular, the following theorem is central: the functor from the category of projective varieties with dominant rational maps (over a fixed base field, for

    Rational mapping

    Rational_mapping

  • Cohomology
  • Algebraic structure used in topology

    derived functors of a left exact functor on an abelian category, while "homology" is used for the left derived functors of a right exact functor. For example

    Cohomology

    Cohomology

    Cohomology

  • Glossary of representation theory
  • such that π {\displaystyle \pi } is injective as a function. fiber functor fiber functor. Frobenius reciprocity The Frobenius reciprocity states that for

    Glossary of representation theory

    Glossary_of_representation_theory

  • Alexander Grothendieck
  • French mathematician (1928–2014)

    cohomology – Weil cohomology theory for schemes X over a base field k Delta-functor – Functor between abelian categories Derivator Derived category – Homological

    Alexander Grothendieck

    Alexander Grothendieck

    Alexander_Grothendieck

  • Morphism of schemes
  • Concept in algebraic geometry

    For example, working with a category-valued (pseudo-)functor instead of a set-valued functor leads to the notion of a stack, which allows one to keep

    Morphism of schemes

    Morphism_of_schemes

  • Glossary of logic
  • a predicate. predicate functor logic A logical system that combines elements of predicate logic with the concept of functors, allowing for a more expressive

    Glossary of logic

    Glossary_of_logic

  • Willard Van Orman Quine
  • American philosopher and logician (1908–2000)

    predicate functor logic, one of several ways that have been proposed for doing logic without quantifiers. For a comprehensive treatment of predicate functor logic

    Willard Van Orman Quine

    Willard Van Orman Quine

    Willard_Van_Orman_Quine

  • Smalltalk
  • Object-oriented programming language

    Collection is equivalent to the higher-order function filter on an appropriate functor. Control structures do not have special syntax in Smalltalk. They are instead

    Smalltalk

    Smalltalk

    Smalltalk

  • List of publications in mathematics
  • Eilenberg introduced categories so that they could introduce functors, and they introduced functors so that they could introduce natural equivalences. Prior

    List of publications in mathematics

    List of publications in mathematics

    List_of_publications_in_mathematics

  • Glossary of algebraic geometry
  • to keep track of certain information that is only latent in the moduli functor or moduli stack. — Kollár, János, Chapter 1, "Book on Moduli of Surfaces"

    Glossary of algebraic geometry

    Glossary_of_algebraic_geometry

  • Flat morphism
  • Scheme theory concept

    if for every g, the pullback f ′ ∗ {\displaystyle f'^{*}} is an exact functor from the category of quasi-coherent O Y ′ {\displaystyle {\mathcal {O}}_{Y'}}

    Flat morphism

    Flat_morphism

  • First-order logic
  • Type of logical system

    by Alfred Tarski, et al.; Polyadic algebra, by Paul Halmos; Predicate functor logic, primarily by Willard Quine. These algebras are all lattices that

    First-order logic

    First-order_logic

  • Linear algebraic group
  • Subgroup of the group of invertible n×n matrices

    commutative k-algebras R; this is the philosophy of describing a scheme by its functor of points.) In either language, one has the notion of a homomorphism of

    Linear algebraic group

    Linear algebraic group

    Linear_algebraic_group

  • Dusun people
  • Indigenous ethnic group of Borneo

    Jason William (31 January 2016). North Borneo Sourcebook: Vocabularies and Functors. University of Hawaii Press. ISBN 978-0-8248-5782-0. Media related to Dusun

    Dusun people

    Dusun people

    Dusun_people

  • Ample line bundle
  • Concept in algebraic geometry

    \varepsilon } . Applying the Proj {\displaystyle \operatorname {Proj} } functor produces a morphism from an open subscheme of X, denoted G ( ε ) {\displaystyle

    Ample line bundle

    Ample_line_bundle

  • Kadazan people
  • Indigenous ethnic group of Borneo

    Jason William (31 January 2016). North Borneo Sourcebook: Vocabularies and Functors. University of Hawaii Press. ISBN 978-0-8248-5782-0. Collection of useful

    Kadazan people

    Kadazan people

    Kadazan_people

  • Map algebra
  • Algebra for manipulating geographic data

    modelling. Prentice Hall. Frank, Andrew U. (2005). "Map algebra extended with functors for temporal data". In Akoka, Jacky (ed.). Perspectives in Conceptual Modeling:

    Map algebra

    Map_algebra

  • Banggi Island
  • Largest Malaysian island

    Lobel, Jason William (2016). North Borneo Sourcebook: Vocabularies and Functors. University of Hawaii Press. pp. 1–273. ISBN 978-0-8248-5782-0. Mojiol

    Banggi Island

    Banggi Island

    Banggi_Island

  • Murut people
  • Indigenous ethnic group of Borneo

    Jason William (31 January 2016). North Borneo Sourcebook: Vocabularies and Functors. University of Hawaii Press. ISBN 978-0-8248-5782-0. Media related to Murut

    Murut people

    Murut people

    Murut_people

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DOMINANT FUNCTOR

  • Dominate
  • v. i.

    To be dominant.

  • Dominate
  • v. t.

    To predominate over; to rule; to govern.

  • Ruminal
  • a.

    Ruminant; ruminating.

  • Dominating
  • p. pr. & vb. n.

    of Dominate

  • Superdominant
  • n.

    The sixth tone of the scale; that next above the dominant; -- called also submediant.

  • Reed
  • n.

    The fourth stomach of a ruminant; rennet.

  • Dominated
  • imp. & p. p.

    of Dominate

  • Ruminant
  • n.

    A ruminant animal; one of the Ruminantia.

  • Dominancy
  • n.

    Predominance; ascendency; authority.

  • Ninth
  • n.

    A chord of the dominant seventh with the ninth added.

  • Magyar
  • n.

    One of the dominant people of Hungary, allied to the Finns; a Hungarian.

  • Joinant
  • a.

    Adjoining.

  • Dominant
  • n.

    The fifth tone of the scale; thus G is the dominant of C, A of D, and so on.

  • Rumen
  • n.

    The cud of a ruminant.

  • Luminant
  • a.

    Luminous.

  • Osmanli
  • n.

    A Turkish official; one of the dominant tribe of Turks; loosely, any Turk.

  • Ruminant
  • a.

    Chewing the cud; characterized by chewing again what has been swallowed; of or pertaining to the Ruminantia.

  • Dominance
  • n.

    Alt. of Dominancy

  • Manifold
  • n.

    The third stomach of a ruminant animal.

  • Dominant
  • a.

    Ruling; governing; prevailing; controlling; predominant; as, the dominant party, church, spirit, power.