Collapses, products and LC manifolds
Geometric Topology
2011-07-12 v2 Combinatorics
Abstract
Durhuus and Jonsson (1995) introduced the class of "locally constructible" (LC) triangulated manifolds and showed that all the LC 2- and 3-manifolds are spheres. We show here that for each d>3 some LC d-manifolds are not spheres. We prove this result by studying how to collapse products of manifolds with exactly one facet removed.
Cite
@article{arxiv.0911.4656,
title = {Collapses, products and LC manifolds},
author = {Bruno Benedetti},
journal= {arXiv preprint arXiv:0911.4656},
year = {2011}
}
Comments
6 pages; added references; minor changes. Accepted for J. Comb. Theory, Series A