Topological fundamental groups can distinguish spaces with isomorphic homotopy groups

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dc.creatorFabel, Paul
dc.date2005-02-18
dc.date2005-04-19
dc.date.accessioned2026-07-07T05:17:09Z
dc.date.available2026-07-07T05:17:09Z
dc.descriptionWe 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.
dc.description5 pages; minor improvements
dc.identifierhttps://arxiv.org/abs/math/0502402
dc.identifierhttp://arxiv.org/abs/math/0502402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74249
dc.subjectAlgebraic Topology
dc.subjectGeneral Topology
dc.subject55P15
dc.titleTopological fundamental groups can distinguish spaces with isomorphic homotopy groups
dc.typetext

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