Detecting codimension one manifold factors with the piecewise disjoint arc-disk property and related properties
Geometric Topology
2013-09-10 v1 Differential Geometry
Abstract
We show that all finite-dimensional resolvable generalized manifolds with the piecewise disjoint arc-disk property are codimension one manifold factors. We then show how the piecewise disjoint arc-disk property and other general position properties that detect codimension one manifold factors are related. We also note that in every example presently known to the authors of a codimension one manifold factor of dimension determined by general position properties, the piecewise disjoint arc-disk property is satisfied.
Keywords
Cite
@article{arxiv.1309.1866,
title = {Detecting codimension one manifold factors with the piecewise disjoint arc-disk property and related properties},
author = {Denise M. Halverson and Dušan Repovš},
journal= {arXiv preprint arXiv:1309.1866},
year = {2013}
}