Collapses, products and LC manifolds
classification
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math.CO
keywords
manifoldsproductsspheresclasscollapsecollapsesconstructibled-manifolds
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Durhuus and Jonsson (1995) 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 exactly one facet removed.
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