Lower Bounds for Cubical Pseudomanifolds

2009/09/30 by Steven Klee, Klee, Steven
Mathematics · #05E45 #55U10 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05E45 #msc:55U10

paper · pdf · doi:10.48550/arxiv.0910.0042

14 pages

arxiv created 2011/04/02 · arxiv updated 2011/04/05

Abstract

It is verified that the number of vertices in a d-dimensional cubical pseudomanifold is at least 2^d+1. Using Adin's cubical h-vector, the generalized lower bound conjecture is established for all cubical 4-spheres, as well as for some special classes cubical spheres in higher dimensions.

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