Isovariant mappings of degree 1 and the Gap Hypothesis

@inproceedings{CHULTZ2006IsovariantMO,
title={Isovariant mappings of degree 1 and the Gap Hypothesis},
author={R EINHARD S CHULTZ},
year={2006}
}

R EINHARD S CHULTZ

Published 2006

Unpublished results of S Straus and W Browder state that two notions of homotopy equivalence for manifolds with smooth group actions—isovariant and equivariant— often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… CONTINUE READING