Isovariant mappings of degree 1 and the Gap Hypothesis

dc.creatorSchultz, Reinhard
dc.date2009-04-03
dc.date.accessioned2026-07-07T13:00:20Z
dc.date.available2026-07-07T13:00:20Z
dc.descriptionUnpublished results of S Straus and W Browder state that two notions of homotopy equivalence for manifolds with smooth group actions - isovariant and equivariant - often coincide under a condition called the Gap Hypothesis; the proofs use deep results in geometric topology. This paper analyzes the difference between the two types of maps from a homotopy theoretic viewpoint more generally for degree one maps if the manifolds satisfy the Gap Hypothesis, and it gives a more homotopy theoretic proof of the Straus-Browder result.
dc.descriptionThis is the version published by Algebraic & Geometric Topology on 12 June 2006
dc.identifierhttps://arxiv.org/abs/0904.0599
dc.identifierhttp://arxiv.org/abs/0904.0599
dc.identifierAlgebr. Geom. Topol. 6 (2006) 739-762
dc.identifierdoi:10.2140/agt.2006.6.739
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225815
dc.subjectGeometric Topology
dc.subject55P91, 57S17, 55R91, 55S15, 55S91
dc.titleIsovariant mappings of degree 1 and the Gap Hypothesis
dc.typetext

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