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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© 2004 Springer Science+Business Media Dordrecht
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Borceux, F., Bourn, D. (2004). Strongly protomodular categories. In: Mal’cev, Protomodular, Homological and Semi-Abelian Categories. Mathematics and Its Applications, vol 566. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-1962-3_7
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DOI: https://doi.org/10.1007/978-1-4020-1962-3_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6551-3
Online ISBN: 978-1-4020-1962-3
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