The ws-singular cohomology of orbifolds
type: Item
instance of: scholarly article
title: The ws-singular cohomology of orbifolds
zbMATH Open document ID: 1117.57022
author: Yoshihiro Takeuchi
author: Misako Yokoyama
published in: Topology and its Applications
publication date: 2007-05-10T00:00:00Z
review text: A new cohomology group (called ws-singular cohomology) is associated to an orbifold. Its general theory, the cup and cap products, the exact sequences, etc. are developed and for some orbifolds these groups are determined. Since for such examples Poincaré duality holds, the authors assert that ws-singular cohomology may be considered as an appropriate cohomology for an orbifold.
reviewed by: Gheorghe Pitiş
Mathematics Subject Classification ID: 57P99
Mathematics Subject Classification ID: 55N99
Mathematics Subject Classification ID: 55P99
zbMATH DE Number: 5151656
zbMATH Keywords: orbifold
zbMATH Keywords: cohomology with integral coefficients
zbMATH Keywords: cup and cap product
zbMATH Keywords: exact sequence
MaRDI profile type: Publication
full work available at URL: j.topol.2006.12.009
OpenAlex ID: W2055957392
cites work: ON A GENERALIZATION OF THE NOTION OF MANIFOLD
cites work: Waldhausen's Classification Theorem for Finitely Uniformizable 3-Orbifolds
cites work: The \(t\)-singular homology of orbifolds
cites work: The duality theorem between the t-singular homology and the ws-singular cohomology of orbifolds
cites work: NOTES ON THE s-SINGULAR AND t-SINGULAR HOMOLOGIES OF ORBIFOLDS
DOI: 10.1016/J.TOPOL.2006.12.009
description: scientific article; zbMATH DE number 5151656