Teisi in Ab

Homology Homotopy Appl. 3 (2001), 87-100

Abstract:

Teisi are certain higher-dimensional categorical structures proposed for doing non-abelian homotopical and homological algebra. I give a partial justification for this proposal by showing that in the abelian case teisi indeed reduce to chain complexes. I also show that the result holds for a much wider class of weaker higher-dimensional categorical structures, which however need to have strict identities. The main step in the proof is an elegant Eckmann-Hilton type argument.

``The author acknowledges the support of NSERC and FCAR Quebec.
``© 2001, Sjoerd E. Crans. Permission to copy for private use granted.''

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Sjoerd E. Crans
Department of Mathematics and Statistics
McGill University
Montreal, Quebec
Canada