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Abstract And Concrete Categories Book Free Download

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Abstract And Concrete Categories
The Joy of Cats
Jirl Adamek,
Horst Herrlich,
George E. Strecker

Table of Contents

Introduction

1 Motivation

2 Foundations

I Categories, Functors, and Natural Transformations
3 Categories and functors

4 Subcategories

5 Concrete categories and concrete functors

6 Natural transformations

II Objects and Morphisms

7 Objects and morphisms in abstract categories

8 Objects and morphisms in concrete categories

9 Injective objects and essential embeddings

III Sources and Sinks

10 Sources and sinks

11 Limits and colimits

12 Completeness and cocompleteness

13 Functors and limits

IV Factorization Structures

14 Factorization structures for morphisms

15 Factorization structures for sources

16 E-reflective subcategories

17 Factorization structures for functors

V Adjoints and Monads

18 Adjoint functors

19 Adjoint situations

20 Monads

VI Topological and Algebraic Categories

21 Topological categories

22 Topological structure theorems

23 Algebraic categories

24 Algebraic structure theorems

25 Topologically algebraic categories

26 Topologically algebraic structure theorems

VII Cartesian Closedness and Partial Morphisms

27 Cartesian closed categories

28 Partial morphisms, quasitopoi, and topological universes

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