TY - JOUR
T1 - Face vectors of simplicial cell decompositions of manifolds
AU - Murai, Satoshi
N1 - Funding Information:
∗ This work was supported by KAKENHI 22740018. Received February 24, 2011 and in revised form November 9, 2011
PY - 2013/6
Y1 - 2013/6
N2 - 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.
AB - 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.
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U2 - 10.1007/s11856-012-0127-8
DO - 10.1007/s11856-012-0127-8
M3 - Article
AN - SCOPUS:84883815277
SN - 0021-2172
VL - 195
SP - 187
EP - 213
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -