Essentially affine categories

  • Francis Borceux
  • Dominique Bourn
Part of the Mathematics and Its Applications book series (MAIA, volume 566)


We used the example of groups as a guideline to extract the notion of protomodular category and we gave evidence that protomodularity makes also perfect sense in a non pointed context. The idea has been to investigate the properties of the fibration of points which, in the pointed case, characterize the validity of the short five lemma, and to take these as a definition of protomodularity.


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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • Francis Borceux
    • 1
  • Dominique Bourn
    • 2
  1. 1.Université de LouvainLouvain-la-NeuveBelgium
  2. 2.Université du LittoralCalaisFrance

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