Quasi finite loop spaces are manifolds
Algebraic Topology
2007-05-23 v1
Abstract
It is an old conjecture, that finite -spaces are homotopy equivalent to manifolds. Here we prove that this conjecture is true for loop spaces. Actually, we show that every quasi finite loop space is equivalent to a stably parallelizable manifold. The proof is conceptual and relies on the theory of p-compact groups. On the way we also give a complete classification of all simple 2-compact groups of rank 2.
Cite
@article{arxiv.math/0209103,
title = {Quasi finite loop spaces are manifolds},
author = {N. Kitchloo and D. Notbohm},
journal= {arXiv preprint arXiv:math/0209103},
year = {2007}
}
Comments
17 pages