nLab
Handbook of Categorical Algebra
Context
Topos Theory
topos theory

Background
Toposes
Internal Logic
Topos morphisms
Cohomology and homotopy
In higher category theory
Theorems
Category Theory
category theory

Concepts
Universal constructions
Theorems
Extensions
Applications
This entry is to record the monograph on category theory and topos theory .

Francis Borceux , Handbook of Categorical Algebra , Cambridge University Press (1994)

Vol. 1: Basic Category Theory, gBooks

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, gBooks

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

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

Last revised on February 26, 2018 at 15:00:18.
See the history of this page for a list of all contributions to it.