A criterion for homeomorphism between closed Haken manifolds
Geometric Topology
2014-10-01 v1
Abstract
In this paper we consider two connected closed Haken manifolds denoted by M^3 and N^3, with the same Gromov simplicial volume. We give a simple homological criterion to decide when a given map f: M^3-->N^3 between M^3 and N^3 can be changed by a homotopy to a homeomorphism. We then give a convenient process for constructing maps between M^3 and N^3 satisfying the homological hypothesis of the map f.
Cite
@article{arxiv.math/0304076,
title = {A criterion for homeomorphism between closed Haken manifolds},
author = {Pierre Derbez},
journal= {arXiv preprint arXiv:math/0304076},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-12.abs.html