| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4655705 | Journal of Combinatorial Theory, Series A | 2011 | 5 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
