Handbook of Categorical Algebra


Category Theory

Topos Theory

topos theory



Internal Logic

Topos morphisms

Extra stuff, structure, properties

Cohomology and homotopy

In higher category theory


This entry is to record the monograph on category theory and topos theory.

  • Francis Borceux,

    Handbook of Categorical Algebra,

    Cambridge University Press (1994)

A review of the book may be found in: Bull. London Math. Soc. 28:4, 440-442, doi


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 July 6, 2018 at 08:22:58. See the history of this page for a list of all contributions to it.