On the homotopy classification of spaces by the fixed loop space homology

Details On the homotopy classification of spaces by the fixed loop space homology On the homotopy classification of spaces by the fixed loop space homology

2010-03-15

arxiv.org/abs/1003.2897v1

Published in Proceedings of A. Razmadze Mathematical Institute, 119 (1999), 155-164

Mathematics

Algebraic Topology

8 pages

Scientific paper

Let $R\subseteq \Bbb Q$ be a subring of the rationals and let $p$ be the least prime (if none, $p=\infty $) which is not invertible in $R.$ For an $R$-local $r$-connected $CW$-complex $X$ of dimension $\leq \min(r+2p-3,rp-1), r\geq 1, $ a complete homotopy invariant is constructed in terms of the loop space homology $H_*(\Omega X).$ This allows us to classify all such $R$-local spaces up to homotopy with a fixed loop space homology.

Affiliated with

Also associated with

No associations

Rating

On the homotopy classification of spaces by the fixed loop space homology 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 the homotopy classification of spaces by the fixed loop space homology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the homotopy classification of spaces by the fixed loop space homology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-214268