2010/10/02 by Satoshi Murai, Murai, Satoshi
Mathematics · #13F55 #52B05 #55U10 #57M15 #57Q15 #Advanced Topics in Algebra #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #math.CO #math.GT #msc:13F55 #msc:52B05 #msc:55U10 #msc:57M15 #msc:57Q15
paper · pdf · doi:10.48550/arxiv.1010.0319
21 pages
arxiv created 2010/10/02 · openalex publication_date 2010/10/02 · arxiv updated 2010/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.