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Teisi in Ab

Sjoerd E. Crans

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.

Homology, Homotopy and Applications, Vol. 3, 2001, No. 4, pp. 87-100

http://www.rmi.acnet.ge/hha/volumes/2001/n4/n4.dvi (ps, dvi.gz, ps.gz)
ftp://ftp.rmi.acnet.ge/pub/hha/volumes/2001/n4/n4.dvi (ps, dvi.gz, ps.gz)