Daverman, Robert J.; Tinsley, F. C. Acyclic maps whose mapping cylinders embed in 5-manifolds. (English) Zbl 0718.57008 Houston J. Math. 16, No. 2, 255-270 (1990). 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) Cited in 1 Document MSC: 57N70 Cobordism and concordance in topological manifolds Keywords:acyclic map; crumpled lamination; upper semicontinuous decomposition; homology 4-sphere Citations:Zbl 0616.57010 PDFBibTeX XMLCite \textit{R. J. Daverman} and \textit{F. C. Tinsley}, Houston J. Math. 16, No. 2, 255--270 (1990; Zbl 0718.57008)