Semibundle decomposition of 3-manifolds and the twisted cofundamental group
type: Item
instance of: scholarly article
title: Semibundle decomposition of 3-manifolds and the twisted cofundamental group
zbMATH Open document ID: 0888.57013
DOI: 10.1016/S0166-8641(96)00175-7
author: Louis Zulli
published in: Topology and its Applications
publication date: 1998-05-25T00:00:00Z
review text: The author considers a semibundle decomposition of a closed, oriented 3-manifold \(M\) such that \(M=M_1\cup M_2\), \(M_1\cap M_2=\Sigma\) is an embedded, orientable surface, and each \(M_i\) is a twisted \(I\)-bundle over a closed, nonorientable surface, with \(\Sigma\) the corresponding 0-sphere bundle. He defined twisted cofundamental group and constructed an isomorphism between the twisted cofundamental group and a certain one-dimensional cohomology group with twisted integer coefficients and formulated a Stallings' fibration theorem for semibundles.
Mathematics Subject Classification ID: 57M99
zbMATH DE Number: 1071476
zbMATH Keywords: semibundle
zbMATH Keywords: twisted cofundamental group
zbMATH Keywords: 3-manifold
MaRDI profile type: Publication
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full work available at URL: s0166-8641(96)00175-7
OpenAlex ID: W2009263576
description: scientific article; zbMATH DE number 1071476