The ziqqurath of exact sequences of n-groupoids

Details The ziqqurath of exact sequences of n-groupoids The ziqqurath of exact sequences of n-groupoids

2008-02-06

arxiv.org/abs/0802.0800v1

Mathematics

Category Theory

PhD thesis of the author, supervisors S. Kasangian E.M. Vitale

Scientific paper

Higher Dimensional Categories are showing relevant implications in several fields of mathematical research. Nevertheless basic algebraic tools, in order to further develop the theory, are far from being established. In this thesis we introduce a notion of exactness for exact sequences of pointed n-groupoids. Furthermore we test it generalizing a well known result for (fibrations of) groupoids [R.Brown, 1970]. Namely, given a fibration F of (pointed) groupoids and its strict kernel it is possible to obtain a 6-term exact sequence of groups (of loops) and pointed sets (iso classes of objects). The ziqqurath, aka step-pyramid, comes out from iterating this construction, and it consists in several sequences of n-groupoids, (n-1)-groupoids and so on up to pointed sets (0-groupoids), of increasing length.

Affiliated with

Also associated with

No associations

Rating

The ziqqurath of exact sequences of n-groupoids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The ziqqurath of exact sequences of n-groupoids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The ziqqurath of exact sequences of n-groupoids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-559801