Topological invariance of the combinatorial Euler characteristic of tame spaces
type: Item
instance of: scholarly article
title: Topological invariance of the combinatorial Euler characteristic of tame spaces
zbMATH Open document ID: 1230.57021
author: Tibor Beke
published in: Homology, Homotopy and Applications
publication date: 2011-11-01T00:00:00Z
review text: The combinatorial Euler characteristic for tame spaces can be defined by tame triangulations and a formula similar to the classical one. The author proves that the combinatorial Euler characteristic is a homeomorphism invariant. The result is related to Milnor's disproof of the polyhedral Hauptvermutung and the apparent lack of cohomological interpretation of the combinatorial Euler characteristic of tame spaces that are not locally compact. The result is proved in the setting of o-minimal structures over \(\mathbb{R}\). The author uses the canonical, topologically defined stratification of tame spaces by locally compact, tame strata.
reviewed by: Vasile Oproiu
Mathematics Subject Classification ID: 57N80
Mathematics Subject Classification ID: 05E45
Mathematics Subject Classification ID: 57N45
Mathematics Subject Classification ID: 57Q25
Mathematics Subject Classification ID: 57Q99
zbMATH DE Number: 5965883
zbMATH Keywords: tame space
zbMATH Keywords: Euler characteristic
zbMATH Keywords: stratification
MaRDI profile type: Publication
DOI: 10.4310/HHA.2011.V13.N2.A11
description: scientific article; zbMATH DE number 5965883