Face vectors of simplicial cell decompositions of manifolds

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper, we study face vectors of simplicial posets that are the face posets of cell decompositions of topological manifolds without boundary. We characterize all possible face vectors of simplicial posets whose geometric realizations are homeomorphic to the product of spheres. As a corollary, we obtain the characterization of face vectors of simplicial posets whose geometric realizations are odd-dimensional manifolds without boundary.

Original languageEnglish
Pages (from-to)187-213
Number of pages27
JournalIsrael Journal of Mathematics
Volume195
Issue number1
DOIs
Publication statusPublished - 2013 Jan 1
Externally publishedYes

Fingerprint

Cell Decomposition
Poset
Face
Topological manifold
Homeomorphic
Corollary
Odd

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Face vectors of simplicial cell decompositions of manifolds. / Murai, Satoshi.

In: Israel Journal of Mathematics, Vol. 195, No. 1, 01.01.2013, p. 187-213.

Research output: Contribution to journalArticle

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