Lower bound theorem for normal pseudomanifolds

Details Lower bound theorem for normal pseudomanifolds Lower bound theorem for normal pseudomanifolds

2008-02-26

arxiv.org/abs/0802.3747v3

Expo. Math. 26 (2008), 327 - 351

Mathematics

Geometric Topology

25 pages, Final/Published version, Appeared in `Expositiones Mathematicae'

Scientific paper

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 generalised 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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