Collapses, products and LC manifolds |
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| Authors: | Bruno Benedetti |
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| Institution: | Inst. Mathematics, MA 6-2, TU Berlin, D-10623 Berlin, Germany |
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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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| Keywords: | Collapse LC manifold Product complex Simple homotopy type |
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