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Acyclic maps whose mapping cylinders embed in 5-manifolds. (English) Zbl 0718.57008

A crumpled lamination of a compact \((n+1)\)-manifold M with two boundary components \(N_ 1\) and \(N_ 2\) is an upper semicontinuous decomposition G of M into closed, connected n-manifolds such that \(N_ 1,N_ 2\in G\). In a previous paper [Mich. Math. J. 33, 343-351 (1986; Zbl 0616.57010)] the authors investigated conditions under which a lamination existed provided \(n\geq 5\). In this paper the authors show that given any homology 4-sphere \(\Sigma^ 4\) there exists a laminated 5-manifold M such that the boundary of M is \(\Sigma^ 4\cup S^ 4\) where \(S^ 4\) is a 4- sphere. The paper ends with a series of five questions on laminations and decompositions.
Reviewer: D.G.Wright (Provo)

MSC:

57N70 Cobordism and concordance in topological manifolds

Citations:

Zbl 0616.57010
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