Results 21 to 30 of about 93,496 (268)
Applied Categorical Structures, 2016 Complete version, added more material, small corrections; 40 pages, 1 ...
Masulovic, Dragan, Wieslaw, Kubis
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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
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Pacific Journal of Mathematics, 2016 Minor corrections, and fixed proof of Proposition 4 ...
Kaliszewski, Steve +2 more
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Foundations of Physics, 2023 In this document, we introduce a novel formalism for any field theory and apply it to the effective field theories of large-scale structure. The new formalism is based on functors of actions composing those theories. This new formalism predicts the actionic fields. We discuss our findings in a cosmological gravitology framework.
Ntelis, P. +3 more
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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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Backprop as Functor: A compositional perspective on supervised learning [PDF]
Logic in Computer Science, 2017 A supervised learning algorithm searches over a set of functions $A\rightarrow B$ parametrised by a space $P$ to find the best approximation to some ideal function $f:A\rightarrow B$. It does this by taking examples $(a, f(a))\in A\times B$, and updating
Brendan Fong +2 more
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Pointed Drinfeld Center Functor [PDF]
Communications in Mathematical Physics, 2019 In this work, using the functoriality of the Drinfeld center of fusion categories, we generalize the functoriality of the full center of simple separable algebras in a fixed fusion category to all fusion categories.
Liang Kong, Wei Yuan, Hao Zheng
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On the Frobenius functor for symmetric tensor categories in positive characteristic [PDF]
, 2019 We develop a theory of Frobenius functors for symmetric tensor categories (STC) 𝒞 {\mathcal{C}} over a field 𝒌 {\boldsymbol{k}} of characteristic p, and give its applications to classification of such categories.
P. Etingof, V. Ostrik
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Adjoint functor theorems for ∞ ‐categories [PDF]
Journal of the London Mathematical Society, 2018 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.
Hoang Kim Nguyen +2 more
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The center of a Green biset functor [PDF]
Pacific Journal of Mathematics, 2019 For a Green biset functor $A$, we define the commutant and the center of $A$ and we study some of their properties and their relationship. This leads in particular to the main application of these constructions: the possibility of splitting the category ...
S. Bouc, Nadia Romero
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