nLab
Borceux-Bourn

Book entry

• Francis Borceux, Dominique Bourn, Mal’cev, protomodular, homological and semi-abelian categories, Mathematics and Its Applications 566, Kluwer 2004

Contents:

• Preface

1. Metatheorems

2. Mal'cev categories

3. Protomodular categories?

4. Homological categories?

5. Semi-abelian categories

6. Strongly protomodular categories?

7. Essentially affine categories?

• Appendix

  1. Algebraic theories

  2. Internal relations

  3. Internal groupoids

  4. Variations on epimorphisms

  5. Regular and exact categories

  6. Monads

  7. Fibrations

• Classification table of fibrations of points

• Bibliography

• Index of symbols

• Index of definitions

category: reference