Results 11 to 20 of about 19,289 (184)
Continuity is an Adjoint Functor [PDF]
The American Mathematical Monthly, 2015 To appear in the American Mathematical ...
Edward S. Letzter
+8 more sources
On Dynamical Adjoint Functor [PDF]
Applied Categorical Structures, 2011 We give an explicit formula relating the dynamical adjoint functor and dynamical twist over nonalbelian base to the invariant pairing on parabolic Verma modules. As an illustration, we give explicit $U(sl(n))$- and $U_\hbar(sl(n))$-invariant star product on projective spaces.
Andrey Mudrov
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On Adjoint and Brain Functors [PDF]
Axiomathes, 2015 There is some consensus among orthodox category theorists that the concept of adjoint functors is the most important concept contributed to mathematics by category theory. We give a heterodox treatment of adjoints using heteromorphisms (object-to-object morphisms between objects of different categories) that parses an adjunction into two separate parts
David Ellerman
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A finitary adjoint functor theorem [PDF]
Theory and Applications of CategoriesGraduated locally finitely presentable categories are introduced, examples include categories of sets, vector spaces, posets, presheaves and Boolean algebras. A finitary functor between graduated locally finitely presentable categories is proved to be a right adjoint if and only if it preserves countable limits.
Adámek, Jiří, Sousa, Lurdes
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Induction and restriction as adjoint functors on representations of locally compact groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper the Frobenius Reciprocity Theorem for locally compact groups is looked at from a category theoretic point of view.
Robert A. Bekes, Peter J. Hilton
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Adjoint functors induced by adjoint linear transformations [PDF]
Proceedings of the American Mathematical Society, 1974 Adjoint linear transformations between Hilbert spaces or, more generally, between dual systems of topological vector spaces induce contravariant functors which are adjoint on the right—essentially a Galois connection between the posets of subsets (or subspaces) of the spaces. Modulo scalars the passage from linear maps to functors is one-to-one; indeed,
Paul H. Palmquist
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Adjoint functor theorems for ∞‐categories [PDF]
Journal of the London Mathematical Society, 2019 Adjoint functor theorems give necessary and sufficient conditions for a functor to admit an adjoint. In this paper, we prove general adjoint functor theorems for functors between ∞‐categories. One of our main results is an ∞‐categorical generalization of Freyd's classical General Adjoint Functor Theorem.
Hoang Kim Nguyen +2 more
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Where Do Adjunctions Come From? Chimera Morphisms and Adjoint Functors in Category Theory [PDF]
FoundationsCategory theory has foundational importance because it provides conceptual lenses to characterize what is important and universal in mathematics—with adjunction seeming to be the primary lens. Our topic is a theory showing “where adjoints come from”. The
David Ellerman
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Adjoint functors in graph theory [PDF]
, 2013 We survey some uses of adjoint functors in graph theory pertaining to colourings, complexity reductions, multiplicativity, circular colourings and tree duality. The exposition of these applications through adjoint functors unifies the presentation to some extent, and also raises interesting questions.
Foniok, Jan, Tardif, Claude
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The core of adjoint functors [PDF]
Theory and Applications of Categories, 2012 There is a lot of redundancy in the usual definition of adjoint functors. We define and prove the core of what is required. First we do this in the hom-enriched context. Then we do it in the cocompletion of a bicategory with respect to Kleisli objects, which we then apply to internal categories. Finally, we describe a doctrinal setting.
Ross Street
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