Suspensions of generalized spheres and the triangulation theory
type: Item
instance of: scholarly article
title: Suspensions of generalized spheres and the triangulation theory
zbMATH Open document ID: 1051.57028
author: Vladimir I. Ryazanov
author: O. Martio
published in: Siberian Advances in Mathematics
publication date: 2004-09-06T00:00:00Z
review text: The authors start from Quinn's observation [\textit{F. Quinn}, Invent. Math. 72, 267--284 (1983; Zbl 0555.57003)] that the Cannon-Edwards theorem on the double suspension can be extended to generalized homology spheres and prove a similar result on the single suspension of generalized homotopy spheres. Then they give a series of applications of this result to the triangulation theory for topological manifolds.
Mathematics Subject Classification ID: 57N15
Mathematics Subject Classification ID: 57R67
Mathematics Subject Classification ID: 57Q10
Mathematics Subject Classification ID: 32B25
Mathematics Subject Classification ID: 57Q15
Mathematics Subject Classification ID: 57P10
zbMATH DE Number: 2097037
zbMATH Keywords: generalized homotopy sphere
zbMATH Keywords: triangulation theory for manifolds
zbMATH Keywords: Milnor conjecture
zbMATH Keywords: homology \(n\)-sphere
reviewed by: Victor Alexandrov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2097037