[ALGTOP-L] question on cubical abelian groups

marek at mat.uni.torun.pl marek at mat.uni.torun.pl
Tue Dec 23 15:07:15 EST 2008

Ronnie wrote:
Similarly Andy Tonks shows in Tonks, A. P. Cubical groups which are  
Kan. J. Pure Appl. Algebra 81 (1992), no. 1, 83--87 that cubical  
groups with connections are Kan complexes. Is a counterexample without  
the connections
in print?
Well, an example of an abelian cubical set which is not a Kan complex
has been constructed by A. Swiatek in her Ph. D. thesis, "The
category of cubical objects", Torun (1975).
Ronnie, if you like to know more I could send you the details.

Marek Golasinski

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