Mathematics – Combinatorics
Scientific paper
2009-09-30
Mathematics
Combinatorics
14 pages
Scientific paper
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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