Lower Bounds for Cubical Pseudomanifolds

Mathematics – Combinatorics

Scientific paper

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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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