h-Vectors of simplicial cell balls

preprint2011arXivOpen access

Abstract

A simplicial cell ball is a simplicial poset whose geometric realization is homeomorphic to a ball. Recently, Samuel Kolins gave a series of necessary conditions and sufficient conditions on hh-vectors of simplicial cell balls, and characterized them up to dimension 6. In this paper, we extend Kolins' results. We characterize all possible hh-vectors of simplicial cell balls in arbitrary dimension.

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