Results 11 to 20 of about 94,161 (290)
Dirichlet Functors are Contravariant Polynomial Functors [PDF]
arXiv, 2020 Polynomial functors are sums of covariant representable functors from the category of sets to itself. They have a robust theory with many applications -- from operads and opetopes to combinatorial species. In this paper, we define a contravariant analogue of polynomial functors: Dirichlet functors. We develop the basic theory of Dirichlet functors, and
Myers, David Jaz, Spivak, David I.
arxiv +3 more sources
Transactions of the American Mathematical Society, 1958 "Adjoint functors assist in reincorporating the subjective into its rightful place as a part of the objective so that it can organically reflect the objective" (Lawvere and Rosebrugh (2003), Sets for Mathematics, Cambridge University Press, p. 239).
Daniel M. Kan
openalex +2 more sources
The tensor product of functors; satellites; and derived functors
Journal of Algebra, 1968 Janet L Fisher
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Jacobi–Trudi Identity and Drinfeld Functor for Super Yangian [PDF]
, 2020 We show that the quantum Berezinian which gives a generating function of the integrals of motions of XXX spin chains associated to super Yangian $\mathrm{Y}(\mathfrak{gl}_{m|n})$ can be written as a ratio of two difference operators of orders $m$ and $n$
Kang Lu, E. Mukhin
semanticscholar +1 more source
Geometrical properties of the space of idempotent probability measures
Applied General Topology, 2021 Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be "parallel''.
Kholsaid Fayzullayevich Kholturayev
doaj +1 more source
Applied Categorical Structures, 2016 Complete version, added more material, small corrections; 40 pages, 1 ...
Masulovic, Dragan, Wieslaw, Kubis
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Philosophical Issues, Volume 32, Issue 1, Page 367-381, October 2022., 2022 Abstract In this article I argue that often propositional knowledge is acquired and retained by extensive reliance on physical and social scaffolds that create an environment or niche conducive to knowledge. It is incumbent on epistemologists to subject these aids to epistemic assessments.
Alessandra Tanesini
wiley +1 more source
Enriched functor categories for functor calculus
Topology and its Applications, 2022 In this paper we present background results in enriched category theory and enriched model category theory necessary for developing model categories of enriched functors suitable for doing functor calculus.
Bandklayder, L. +4 more
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On an adjoint functor to the Thom functor [PDF]
Proceedings of the American Mathematical Society, 2001 We construct a right adjoint functor to the Thom functor, i.e., to the functor which assigns the Thom space T ξ T\xi to a vector bundle ξ \xi .
Yuli B. Rudyak, Yuli B. Rudyak
openaire +1 more source
Pacific Journal of Mathematics, 2016 Minor corrections, and fixed proof of Proposition 4 ...
Kaliszewski, Steve +2 more
openaire +4 more sources