nLab
Handbook of Categorical Algebra

Contents

Context

Category Theory

Topos Theory

topos theory

Background

Toposes

Internal Logic

Topos morphisms

Extra stuff, structure, properties

Cohomology and homotopy

In higher category theory

Theorems

This entry is to record the monograph

on category theory, categorical algebra and topos theory.

Book review:

Contents

Vol. 1: Basic Category Theory

Introduction; 1. The language of categories; 2. Limits; 3. Adjoint functors; 4. Generators and projectives; 5. Categories of fractions; 6. Flat functors and Cauchy completeness; 7. Bicategories and distributors; 8. Internal category theory; Bibliography; Index.

Vol. 2: Categories and Structures

Preface; Introduction to the handbook; 1. Abelian categories; 2. Regular categories; 3. Algebraic theories; 4. Monads; 5. Accessible categories; 6. Enriched category theory; 7. Topological categories; 8. Fibred categories; Bibliography; Index.

3: Categories of Sheaves, gBooks

3rd vol. ToC pdf

category: reference

Last revised on March 23, 2021 at 14:51:17. See the history of this page for a list of all contributions to it.