Collapses, products and LC manifolds

Details Collapses, products and LC manifolds Collapses, products and LC manifolds

2009-11-24

arxiv.org/abs/0911.4656v2

Journal of Combinatorial Theory Ser. A 118 (2011), 586-590

Mathematics

Geometric Topology

6 pages; added references; minor changes. Accepted for J. Comb. Theory, Series A

Scientific paper

10.1016/j.jcta.2010.05.001

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.

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