Realizing characteristic classes by manifolds
type: Item
instance of: scholarly article
title: Realizing characteristic classes by manifolds
zbMATH Open document ID: 0557.57012
DOI: 10.1016/0166-8641(84)90031-2
author: Cornelia Wissemann-Hartmann
author: Ralph Stoecker
published in: Topology and its Applications
publication date: 1984-01-01T00:00:00Z
review text: We learn that also the exotic characteristic classes can be realized, namely a simply connected Poincaré duality space, whose Stiefel-Whitney classes are all zero.
Mathematics Subject Classification ID: 57P10
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 55R40
Mathematics Subject Classification ID: 55R25
Mathematics Subject Classification ID: 55R50
zbMATH DE Number: 3888551
zbMATH Keywords: classifying space for stable spherical fibrations
zbMATH Keywords: Poincaré
zbMATH Keywords: duality space
zbMATH Keywords: Spivak fibration
zbMATH Keywords: exotic characteristic classes
zbMATH Keywords: Stiefel-Whitney classes
reviewed by: Hansueli Hösli
MaRDI profile type: Publication
full work available at URL: 0166-8641(84)90031-2
OpenAlex ID: W2054199163
cites work: Cobordism theories
cites work: The first exotic class of BF
cites work: Exotic characteristic classes and their relation to universal surgery classes
cites work: Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92)
cites work: Q5728973
cites work: The cohomology structure of certain fibre spaces. I
cites work: A definition of exotic characteristic classes of spherical fibrations
cites work: Homological Algebra and the Eilenberg-Moore Spectral Sequence
cites work: Spaces satisfying Poincaré duality
cites work: On the structure of 5-dimensional Poincaré duality spaces
cites work: Quelques propriétés globales des variétés différentiables
cites work: Spherical fibrations and manifolds
Recommended article: Detecting and realising characteristic classes of manifold bundles
Recommended article: A generalization of manifold and its characteristic classes
Recommended article: Characteristic classes of structures on manifolds
Recommended article: Q3769632
Recommended article: Q4129465
Recommended article: On characteristic classes of \(Q\) -manifolds
Recommended article: Computation of characteristic classes of a manifold from a triangulation of it
Recommended article: Connections on manifolds and new characteristic classes
Recommended article: Q3119403
Recommended article: Relations among characteristic classes of manifold bundles
description: scientific article; zbMATH DE number 3888551