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Strongly protomodular categories

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

Abstract

In chapter 3, we focused our attention on the theory of normal subobjects in a protomodular category. We are now going to turn our attention towards centrality and connected relations in the context of protomodular categories. This will lead us to emphasize a strong relationship between centrality and normality. Given a protomodular category ε, we shall investigate what are the normal subobjects in the protomodular slice categories ε/ X and in the pointed protomodular fibres Pt X (ε) of the fibration of points.

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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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