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3 × 3 Lemma and Protomodularity

✍ Scribed by Dominique Bourn

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
118 KB
Volume
236
Category
Article
ISSN
0021-8693

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✦ Synopsis

The classical 3 = 3 lemma and snake lemma, valid in any abelian category, still Ž . hold in any quasi-pointed the map 0 ª 1 is a mono , regular, and protomodular category. Some applications are given, in this abstract context, concerning the Ž denormalization of kernel maps and the normalization of internals groupoids i.e., . associated crossed modules .

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