Topological fundamental groups can distinguish spaces with isomorphic homotopy groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We exhibit a map f between aspherical spaces X and Y such that f induces an isomorphism on homotopy groups but, with natural topologies, X and Y fail to have homeomorphic fundamental groups. Thus the topological fundamental group has the capacity to distinguish homotopy type when the Whitehead theorem fails.
5 pages; minor improvements

Keywords

Algebraic Topology, General Topology, 55P15

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/74249

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502402
 http://arxiv.org/abs/math/0502402

Collections

arXiv