On codimension two and one splitting
type: Item
instance of: scholarly article
title: On codimension two and one splitting
zbMATH Open document ID: 0873.57027
DOI: 10.1016/S0166-8641(96)00089-2
published in: Topology and its Applications
publication date: 1997-11-05T00:00:00Z
review text: According to Cappell and Shaneson, very often the secondary surgery obstruction \(O_2\) to codimension two splitting is zero, but examples with \(O_2\neq 0\) exist. By considering homotopy equivalences with codomain the total space of a two disk bundle, the autor produces many examples with \(O_2\neq 0\) and other examples with \(O_2=0\). The approach is to compare codimension two splittings with codimension one splittings.
reviewed by: Karl Heinz Dovermann
Mathematics Subject Classification ID: 57R67
Mathematics Subject Classification ID: 57Q99
zbMATH DE Number: 988057
zbMATH Keywords: secondary surgery obstruction
zbMATH Keywords: codimension two splitting
author: Ricardo Nogueira da Cruz
MaRDI profile type: Publication
cites work: Q5586056
cites work: Fixed point free involutions on homotopy spheres
cites work: A splitting theorem for manifolds
cites work: Q5748598
cites work: The codimension two placement problem and homology equivalent manifolds
cites work: Q5616706
cites work: Q5624419
description: scientific article; zbMATH DE number 988057