N-tuple groups and matched n-tuples of groups

Details N-tuple groups and matched n-tuples of groups N-tuple groups and matched n-tuples of groups

2011-12-30

arxiv.org/abs/1201.0059v1

Mathematics

Category Theory

15 pages, 8 figures

Scientific paper

This paper proves that the category of vacant n-tuple groupoids is equivalent to the category of factorizations of groupoids by n subgroupoids. Moreover it extends this equivalence to the category of maximally exclusive n-tuple groupoids, that we define, and (n+1)-factorizations of groupoids with a normal abelian subgroupoid. Finally it shows that in the smooth case, such a factorization gives a presentation of the Poincar\'e group as a triple groupoid.

Affiliated with

Also associated with

No associations

Rating

N-tuple groups and matched n-tuples of groups 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 N-tuple groups and matched n-tuples of groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and N-tuple groups and matched n-tuples of groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-334718