Results 241 to 250 of about 1,625,403 (282)

Categories of Mackey functors

2022
This thesis studies the theory of Mackey functors as an application of enriched category theory and highlights the notions of lax braiding and lax centre for monoidal categories and more generally promonoidal categories ... The third contribution of this thesis is the study of functors between categories of permutation representations.
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Categories and Functors

2015
We define the concepts of category, functor, and morphism of functors (‘natural transformation’). The set-theoretic difficulty in treating cases like the category of all sets is handled using Grothendieck’s Axiom of Universes. Epimorphisms, monomorphisms, and similar concepts are investigated. The concept of “enriched categories” (for example, additive
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Basic Category Theory

, 2014
Note to the reader Introduction 1. Categories, functors and natural transformations 2. Adjoints 3. Interlude on sets 4. Representables 5. Limits 6. Adjoints, representables and limits Appendix: proof of the General Adjoint Functor Theorem Glossary of ...
T. Leinster
semanticscholar   +1 more source

Categories of Categories and Categories of Functors

1972
The composition of functors in 2.2.6 suggests the study of categories whose objects are categories and whose morphisms are functors. 2.2.7 leads to categories whose objects are functors C→D and whose morphisms are natural transformation. However, familiar antinomies like “the set of all sets.” or “the set of all sets not containing themselves as an ...
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Localized mirror functor for Lagrangian immersions, and homological mirror symmetry for P^1_{a,b,c}

, 2013
This paper gives a new way of constructing Landau-Ginzburg mirrors using deformation theory of Lagrangian immersions motivated by the works of Seidel, Strominger-Yau-Zaslow and Fukaya-Oh-Ohta-Ono. Moreover we construct a canonical functor from the Fukaya
Cheol-Hyun Cho, Hansol Hong, Siu-Cheong Lau   +2 more
semanticscholar   +1 more source

The Category of Functors

2013
From previous paragraphs we have understood what a category is, how to define maps between categories, namely functors, and finally how to define maps between functors, which are natural transformations. It is now possible to group all these definitions in a coherent way and define the category of functors.
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Monoidal categories and functors

2017
The study of monoidal categories originated in the work of Jean Benabou [Ben] and Saunders Mac Lane [ML1]. In this chapter, we review the basics of the theory of monoidal categories.
Vladimir Turaev, Alexis Virelizier
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Functor - Category Semantics of Programming Languages and Logics

Category Theory and Computer Science, 1985
R. D. Tennent
semanticscholar   +1 more source

An overview of real‐world data sources for oncology and considerations for research

Ca-A Cancer Journal for Clinicians, 2022
Lynne T Penberthy, Melissa A Bruno, Anne-marie Meyer   +2 more
exaly  

An attention‐based category‐aware GRU model for the next POI recommendation

International Journal of Intelligent Systems, 2021
Aixiang Pei, Yihong Yang, Yuwen Liu
exaly