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FUNCTOR DISAMBIGUATION

  • Functor (disambiguation)
  • Topics referred to by the same term

    up functor in Wiktionary, the free dictionary. A functor, in mathematics, is a map between categories. Functor may also refer to: Predicate functor in

    Functor (disambiguation)

    Functor_(disambiguation)

  • Higher-order function
  • Function that takes one or more functions as an input or that outputs a function

    not be confused with other uses of the word "functor" throughout mathematics, see Functor (disambiguation). In the untyped lambda calculus, all functions

    Higher-order function

    Higher-order_function

  • Function
  • Topics referred to by the same term

    (disambiguation) Function hall Functional (disambiguation) Functional group (disambiguation) Functionalism (disambiguation) Functor (disambiguation) This

    Function

    Function

  • Covariance (disambiguation)
  • Topics referred to by the same term

    change of coordinate system Covariance and contravariance of functors, properties of functors General covariance or simply covariance (inaccurate but common

    Covariance (disambiguation)

    Covariance_(disambiguation)

  • Delta function (disambiguation)
  • Topics referred to by the same term

    Delta-functor Delta operator Hooley's Delta function, maximum number of divisors of n in [u, eu] for all u, where e is Euler's number. This disambiguation page

    Delta function (disambiguation)

    Delta_function_(disambiguation)

  • Exactness
  • Topics referred to by the same term

    category Exact functor Landweber exact functor theorem Exact sequence Exactness of measurements Accuracy and precision This disambiguation page lists mathematics

    Exactness

    Exactness

  • Full
  • Topics referred to by the same term

    topology; see Full set A property of functors in the mathematical field of category theory; see Full and faithful functors Satiety, the absence of hunger A

    Full

    Full

  • Whisker (disambiguation)
  • Topics referred to by the same term

    Whiskering, an operation in category theory between a functor and a natural transformation This disambiguation page lists articles associated with the title Whisker

    Whisker (disambiguation)

    Whisker_(disambiguation)

  • Completeness
  • Topics referred to by the same term

    from a small category to C has a limit; it is cocomplete if every such functor has a colimit Completeness (order theory), a notion that generally refers

    Completeness

    Completeness

  • EX
  • Topics referred to by the same term

    (calculator key), to enter powers of 10 Extension (simplicial set), or Ex functor Extinct or EX, a conservation status ex, an author citation abbreviation

    EX

    EX

  • Ext
  • Topics referred to by the same term

    abbreviated form of extension in telephony, commonly written as "ext." Ext functor, used in the mathematical field of homological algebra Ext (JavaScript

    Ext

    Ext

  • List of things named after Jean-Pierre Serre
  • image theorem Serre's property FA Serre relations Serre subcategory Serre functor Serre spectral sequence Lyndon–Hochschild–Serre spectral sequence Serre–Swan

    List of things named after Jean-Pierre Serre

    List_of_things_named_after_Jean-Pierre_Serre

  • Exact
  • Topics referred to by the same term

    Exact functor, a function which preserves exact sequences All pages with titles beginning with Exact Exactor (disambiguation) XACT (disambiguation) EXACTO

    Exact

    Exact

  • Topological category
  • Topics referred to by the same term

    topological functor A category enriched over the category of topological spaces; see Topological category (enriched category theory) This disambiguation page

    Topological category

    Topological_category

  • Sheaf of modules
  • Sheaf consisting of modules on a ringed space; generalizing vector bundles

    \operatorname {H} ^{i}(X,-)} as the i-th right derived functor of the global section functor Γ ( X , − ) {\displaystyle \Gamma (X,-)} . Given a ringed

    Sheaf of modules

    Sheaf_of_modules

  • HOM
  • Topics referred to by the same term

    Slovenia Hom-e Khosrow, a village in Iran Hom bundle, in topology Hom functor, in category theory Hom ⁡ ( V , K ) {\displaystyle \operatorname {Hom}

    HOM

    HOM

  • Tensor product (disambiguation)
  • Topics referred to by the same term

    product of sheaves of modules, essentially the same thing Tensor product of functors Categories closed under a suitable tensor product are called "monoidal

    Tensor product (disambiguation)

    Tensor_product_(disambiguation)

  • Torsion
  • Topics referred to by the same term

    Tor functor, the derived functors of the tensor product of modules over a ring Torsion-free module, in algebra See also Torsion-free (disambiguation) Analytic

    Torsion

    Torsion

  • Shriek
  • Topics referred to by the same term

    mathematical contexts Shriek map, in category theory, a type of unusual functor Shriek (album) or the title song, by Wye Oak, 2014 "Shriek" (Batman Beyond)

    Shriek

    Shriek

  • Applicative
  • Topics referred to by the same term

    Applicative programming language Applicative voice Applicative functor This disambiguation page lists articles associated with the title Applicative. If

    Applicative

    Applicative

  • Monoidal
  • Topics referred to by the same term

    in category theory Monoidal functor, between monoidal categories Monoidal natural transformation, between monoidal functors Monoidal transformation, in

    Monoidal

    Monoidal

  • Tor
  • Topics referred to by the same term

    commonly known as mahseers Target of rapamycin, a regulatory enzyme Tor functor, in mathematics Tor (network), an Internet communication method for enabling

    Tor

    Tor

  • Cone (topology)
  • Transformation of a topological space

    map. This construction also gives a functor, from the category of pointed spaces to itself. Cone (disambiguation) Suspension (topology) Desuspension Mapping

    Cone (topology)

    Cone (topology)

    Cone_(topology)

  • Representability
  • Topics referred to by the same term

    Representability in mathematics can refer to the existence of a representable functor in category theory Birch's theorem about the representability of zero by

    Representability

    Representability

  • Continuity
  • Topics referred to by the same term

    theory), for functions between ordinals Continuity (category theory), for functors Graph continuity, for payoff functions in game theory Continuity theorem

    Continuity

    Continuity

  • Word sense
  • One of the meanings of a word

    with a lexical substitute sememe – unit of meaning sense and reference functor – a mathematical term which is the overarching generalization of the intentionality

    Word sense

    Word_sense

  • Lax
  • Topics referred to by the same term

    that solve a type of differential equation, named after Peter Lax lax functors in higher category theory A lax vowel, one that lacks the quality of tenseness

    Lax

    Lax

  • Transformation
  • Topics referred to by the same term

    in one domain to a function in another Natural transformation between functors in category theory. Unitary transformation, between two Hilbert spaces

    Transformation

    Transformation

  • Cartan formula
  • Mathematical formulae

    cohomology operations, which are natural transformations between cohomology functors, which in turn define Steenrod algebra. List of things named after Élie

    Cartan formula

    Cartan_formula

  • Base change theorems
  • Relate the direct image and the pull-back of sheaves

    {\mathcal {F}}} under f, i.e., the derived functor of the direct image (also known as pushforward) functor f ∗ {\displaystyle f_{*}} . This map exists

    Base change theorems

    Base_change_theorems

  • FGX
  • Topics referred to by the same term

    free group generated by GX, the generators of some group X; see Adjoint functors#Free groups FGX International, an American company acquired by French eyewear

    FGX

    FGX

  • Covariance and contravariance
  • Topics referred to by the same term

    in mathematics and theoretical physics Covariance and contravariance of functors, in category theory Covariance and contravariance (computer science), whether

    Covariance and contravariance

    Covariance_and_contravariance

  • Tilt
  • Topics referred to by the same term

    theory in mathematics, including tilting modules, tilted algebras, tilting functors, and so on Tilt (novel), a novel by Ellen Hopkins Tilts, a hamlet in South

    Tilt

    Tilt

  • Adjunct
  • Topics referred to by the same term

    sometimes called the adjunct Adjunction, a possible relationship between two functors in mathematics, specifically category theory Adjuvant Adjutant is a military

    Adjunct

    Adjunct

  • Cohomology of algebras
  • Topics referred to by the same term

    over a supplemented associative algebra Cohomology Ext functor Tor functor This disambiguation page lists mathematics articles associated with the same

    Cohomology of algebras

    Cohomology_of_algebras

  • Lim1
  • Topics referred to by the same term

    {\displaystyle \varprojlim {}^{1}} , the first derived functor of the inverse limit This disambiguation page lists articles associated with the title Lim1

    Lim1

    Lim1

  • Adjoint
  • Index of articles associated with the same name

    endomorphism of a Lie algebra Adjoint representation of a Lie group Adjoint functors in category theory Adjunction (field theory) Adjunction formula (algebraic

    Adjoint

    Adjoint

  • Exponentiation
  • Arithmetic operation

    S^{T})\cong \hom(T\times U,S).} This means the functor "exponentiation to the power T " is a right adjoint to the functor "direct product with T ". This generalizes

    Exponentiation

    Exponentiation

    Exponentiation

  • RAPL
  • Topics referred to by the same term

    Adjoints Preserve Limits, a theorem regarding adjoint functors in category theory. This disambiguation page lists articles associated with the title RAPL

    RAPL

    RAPL

  • Birkhoff's representation theorem
  • Equivalence of distributive lattices and set families

    J(P) to J(Q). In category theoretic terminology, J is a contravariant hom-functor J = Hom(—,2) that defines a duality of categories between, on the one hand

    Birkhoff's representation theorem

    Birkhoff's_representation_theorem

  • Faithful
  • Topics referred to by the same term

    Faithful representation Faithful group action Faithful module Faithful functor Faithful (baptized Catholic), the collected members baptized into the church

    Faithful

    Faithful

  • Beck's theorem
  • Topics referred to by the same term

    functors in category theory Beck's theorem (geometry) (1983) by József Beck, on finite collections of points in discrete geometry This disambiguation

    Beck's theorem

    Beck's_theorem

  • Integer-valued function
  • Integer-valued polynomial Semi-continuity Rank (disambiguation)#Mathematics Grade (disambiguation)#In mathematics Dummit, David S.; Foote, Richard M

    Integer-valued function

    Integer-valued function

    Integer-valued_function

  • Ontology (information science)
  • Specification of a conceptualization

    approach to ontologies, emphasizing translations between ontologies using functors. OBO, a language used for biological and biomedical ontologies. OntoUML

    Ontology (information science)

    Ontology (information science)

    Ontology_(information_science)

  • Intensional
  • Topics referred to by the same term

    logic embraces the study of intensional languages: at least one of their functors is intensional. It can be contrasted to extensional logic Intensional fallacy

    Intensional

    Intensional

  • Space (mathematics)
  • Mathematical set with some added structure

    over the category of topological spaces; the forgetful (or "stripping") functor maps the former category to the latter category. A three-dimensional Euclidean

    Space (mathematics)

    Space (mathematics)

    Space_(mathematics)

  • DisCoCat
  • Mathematical framework for natural language processing

    involves a categorical definition of DisCoCat as a structure-preserving functor from a category of grammar to a category of semantics, which usually encodes

    DisCoCat

    DisCoCat

  • Zuckermann
  • Surname list

    novelist Gregg Zuckerman (born 1949), American mathematician, Zuckerman functors Gregory Zuckerman (born 1966), American journalist Harriet Zuckerman (born

    Zuckermann

    Zuckermann

  • Associative property
  • Property of a mathematical operation

    composition of morphisms is associative by definition. Associativity of functors and natural transformations follows from associativity of morphisms. Consider

    Associative property

    Associative property

    Associative_property

  • Rigidity (K-theory)
  • papers. For example Röndigs & Østvær (2008) show that the base change functor for the mod-n stable A1-homotopy category S H ( F , Z / n ) → S H ( E

    Rigidity (K-theory)

    Rigidity_(K-theory)

  • Loop group
  • Mathematical group of loops in a Lie group

    is an algebraic group over a field k, its algebraic loop group is the functor L G ( R ) = G ( R ( ( t ) ) ) {\displaystyle LG(R)=G(R((t)))} on k-algebras

    Loop group

    Loop group

    Loop_group

  • Analogy
  • Form of figurative language

    mathematical analogy much further with the concept of functors. Given two categories C and D, a functor f from C to D can be thought of as an analogy between

    Analogy

    Analogy

    Analogy

  • Metatypy
  • Type of linguistic change due to language contact

    constructions is often the reorganisation or creation of paradigms of grammatical functors.... Usually, the language undergoing metatypy (the modified language) is

    Metatypy

    Metatypy

  • List of Latin verbs with English derivatives
  • defunction, defunctive, function, functional, functionality, functionary, functor, fungibility, fungible, malfunction, multifunctional, multifunctor, nonfunctional

    List of Latin verbs with English derivatives

    List_of_Latin_verbs_with_English_derivatives

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