Lower bound theorem for normal pseudomanifolds |
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Authors: | Bhaskar Bagchi Basudeb Datta |
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Affiliation: | 1. Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore 560 059, India;2. Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India |
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Abstract: | In this paper we present a self-contained combinatorial proof of the lower bound theorem for normal pseudomanifolds, including a treatment of the cases of equality in this theorem. We also discuss McMullen and Walkup's generalized lower bound conjecture for triangulated spheres in the context of the lower bound theorem. Finally, we pose a new lower bound conjecture for non-simply connected triangulated manifolds. |
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Keywords: | 57Q15 57R05 |
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