Collapses, products and LC manifolds

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

The quantum physicists Durhuus and Jonsson (1995) [9] 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 one facet removed.

Original languageEnglish (US)
Pages (from-to)586-590
Number of pages5
JournalJournal of Combinatorial Theory. Series A
Volume118
Issue number2
DOIs
StatePublished - Feb 2011
Externally publishedYes

Keywords

  • Collapse
  • LC manifold
  • Product complex
  • Simple homotopy type

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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