H-vectors of simplicial cell balls

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 h-vectors of simplicial cell balls, and characterized them up to dimension 6. In this paper, we extend Kolins' results. We characterize all possible h-vectors of simplicial cell balls in arbitrary dimension.

Original languageEnglish
Pages (from-to)1533-1550
Number of pages18
JournalTransactions of the American Mathematical Society
Volume365
Issue number3
DOIs
Publication statusPublished - 2013 Jan 1
Externally publishedYes

Fingerprint

H-vector
Ball
Cell
Homeomorphic
Poset
Necessary Conditions
Series
Sufficient Conditions
Arbitrary

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

H-vectors of simplicial cell balls. / Murai, Satoshi.

In: Transactions of the American Mathematical Society, Vol. 365, No. 3, 01.01.2013, p. 1533-1550.

Research output: Contribution to journalArticle

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