4-dimensional topological bordism
type: Item
instance of: scholarly article
title: 4-dimensional topological bordism
zbMATH Open document ID: 0642.57009
DOI: 10.1016/0166-8641(87)90048-4
author: Felix Hsu
published in: Topology and its Applications
publication date: 1987-01-01T00:00:00Z
review text: This paper assembles together the work of \textit{M. Freedman} on the classification of simply-connected topological 4-manifolds [J. Differ. Geom. 17, 357-454 (1982; Zbl 0528.57011)] and F. Quinn's solution to the 4-dimensional annulus conjecture [\textit{R. Edwards}, Contemp. Math. 35, 211-264 (1984; Zbl 0575.57005)] to show that \(\Omega_ 4^{Top}={\mathbb{Z}}\oplus {\mathbb{Z}}_ 2\) where the first factor arises from the signature of a 4-manifold and the second factor is the Kirby- Siebenmann obstruction to stably smoothing a 4-manifold.
Mathematics Subject Classification ID: 57N13
Mathematics Subject Classification ID: 57N70
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 57R10
zbMATH DE Number: 4046708
zbMATH Keywords: topological cobordism in dimension 4
zbMATH Keywords: stable smoothings
zbMATH Keywords: 4-dimensional annulus conjecture
zbMATH Keywords: simply-connected topological 4-manifolds
zbMATH Keywords: signature of a 4-manifold
zbMATH Keywords: Kirby-Siebenmann obstruction to stably smoothing a 4- manifold
reviewed by: R. J. Stern
MaRDI profile type: Publication
full work available at URL: 0166-8641(87)90048-4
OpenAlex ID: W2091579188
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description: scientific article; zbMATH DE number 4046708