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) |
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Pages (from-to) | 586-590 |
Number of pages | 5 |
Journal | Journal of Combinatorial Theory. Series A |
Volume | 118 |
Issue number | 2 |
DOIs | |
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