%0 Journal Article
%T Isovariant mappings of degree 1 and the Gap Hypothesis
%A Reinhard Schultz
%J Mathematics
%D 2009
%I arXiv
%R 10.2140/agt.2006.6.739
%X Unpublished results of S Straus and W Browder state that two notions of homotopy equivalence for manifolds with smooth group actions - isovariant and equivariant - often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.
%U http://arxiv.org/abs/0904.0599v1