Mathematics – Algebraic Topology
Scientific paper
2008-02-29
Mathematics
Algebraic Topology
10 pages, xypic, hyperref 25/06/08 version 2: 12 pages, accepted for JHRS, various minor revisions
Scientific paper
The classifying space of a crossed complex generalises the construction of Eilenberg-Mac Lane spaces. We show how the theory of fibrations of crossed complexes allows the analysis of homotopy classes of maps from a free crossed complex to such a classifying space. This gives results on the homotopy classification of maps from a CW-complex to the classifying space of a crossed module and also, more generally, of a crossed complex whose homotopy groups vanish in dimensions between 1 and n. The results are analogous to those for the obstruction to an abstract kernel in group extension theory.
No associations
LandOfFree
Exact sequences of fibrations of crossed complexes, homotopy classification of maps, and nonabelian extensions 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 Exact sequences of fibrations of crossed complexes, homotopy classification of maps, and nonabelian extensions of groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact sequences of fibrations of crossed complexes, homotopy classification of maps, and nonabelian extensions of groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-352926