Collapses, products and LC manifolds

Bruno Benedetti

doi:10.1016/j.jcta.2010.05.001

Collapses, products and LC manifolds

Bruno Benedetti

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	586-590
Number of pages	5
Journal	Journal of Combinatorial Theory. Series A
Volume	118
Issue number	2
DOIs	https://doi.org/10.1016/j.jcta.2010.05.001
State	Published - Feb 2011
Externally published	Yes

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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10.1016/j.jcta.2010.05.001

Cite this

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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.",

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AB - 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.

KW - Collapse

KW - LC manifold

KW - Product complex

KW - Simple homotopy type

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JO - Journal of Combinatorial Theory - Series A

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Collapses, products and LC manifolds

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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