-vectors of simplicial cell balls

Author:
Satoshi Murai

Journal:
Trans. Amer. Math. Soc. **365** (2013), 1533-1550

MSC (2010):
Primary 05E45, 52B05; Secondary 13F55

Published electronically:
September 27, 2012

MathSciNet review:
3003273

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Abstract | References | Similar Articles | Additional Information

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

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Additional Information

**Satoshi Murai**

Affiliation:
Department of Mathematical Science, Faculty of Science, Yamaguchi University, 1677-1 Yoshida, Yamaguchi 753-8512, Japan

Email:
murai@yamaguchi-u.ac.jp

DOI:
https://doi.org/10.1090/S0002-9947-2012-05674-1

Received by editor(s):
May 31, 2011

Received by editor(s) in revised form:
July 19, 2011

Published electronically:
September 27, 2012

Article copyright:
© Copyright 2012
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.