On genera of polyhedra

Details On genera of polyhedra On genera of polyhedra

2011-04-28

arxiv.org/abs/1104.5526v2

Mathematics

Algebraic Topology

13 pages, misprints are corrected

Scientific paper

We consider genera of polyhedra (finite cell complexes) in the stable homotopy category. Namely, the genus of a polyhedron X is the class of polyhedra Y such that all localizations of Y are stably isomorphic to the corresponding localizations of X. We prove that Y is in the genus of X if and only if the wedge XvB is stably isomorphic to YvB, where B is the wedge of all spheres S^n such that the n-th stable homotopy group of X is not torsion. We also prove that if XvX and XvY are stably isomorphic, so are also X and Y. Several examples of calculations of genera are considered.

Affiliated with

Also associated with

No associations

Rating

On genera of polyhedra 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 On genera of polyhedra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On genera of polyhedra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-17037