Generalized Dehn-Sommerville equations and an upper bound theorem
type: Item
instance of: scholarly article
title: Generalized Dehn-Sommerville equations and an upper bound theorem
zbMATH Open document ID: 0623.52004
author: Hans-Gert Gräbe
published in: Beiträge zur Algebra und Geometrie
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/138376
review text: The classical Dehn-Sommerville equations connect the numbers of faces of simplicial polytopes, and one simple formulation of these equations eventually provided the tool for the complete classification of the f- vectors of simplicial polytopes. It has long been known that the Dehn- Sommerville equations generalize quite widely. In this paper, the author considers homology manifolds, without boundary or with `good' boundaries, and proves an upper bound theorem for the numbers of their faces, given the number of vertices.
Mathematics Subject Classification ID: 52Bxx
Mathematics Subject Classification ID: 55U05
Mathematics Subject Classification ID: 57R20
zbMATH DE Number: 4011341
zbMATH Keywords: Dehn-Sommerville equations
zbMATH Keywords: numbers of faces of simplicial polytopes
zbMATH Keywords: homology manifolds
zbMATH Keywords: upper bound theorem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4011341