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
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