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FunctorCategories

Categories of functors

2024.06-04

10 June 2024

Mohamed Barakat
Email: mohamed.barakat@uni-siegen.de
Homepage: https://mohamed-barakat.github.io/
Address:
Walter-Flex-Str. 3
57072 Siegen
Germany

Kamal Saleh
Email: kamal.saleh@uni-siegen.de
Homepage: https://github.com/kamalsaleh
Address:
Department Mathematik
Universität Siegen
Walter-Flex-Straße 3
57072 Siegen
Germany

Contents

1 Category of functors of a finitely presented (linear) category
2 Category of presheaves of a finitely presented (linear) category
3 Finite cocompletion of a finitely presented (linear) category
4 The elementary topos of finite bouquets
5 The elementary topos of finite quivers
6 Topos operations
7 The elementary topos of finite reflexive quivers
8 The elementary topos of decorated finite quivers
9 Finite completion of a finitely presented (linear) category
10 Free Abelian category of a finitely presented linear category
11 Functors between the various categories
12 Category of copresheaves of a finitely presented (linear) category
13 Free distributive completion of a finitely presented (linear) category
14 Quotient categories of algebroids from data tables using presheaves categories
15 Futher CAP operations
16 Tools
17 Precompilation
Index

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