On sufficiently connected manifolds which are homotopy equivalent
type: Item
instance of: scholarly article
title: On sufficiently connected manifolds which are homotopy equivalent
zbMATH Open document ID: 0937.57022
author: Norio Kobayakawa
published in: Journal of Mathematics of Kyoto University
publication date: 2000-06-07T00:00:00Z
review text: The paper under review is concerned with the problem whether two \((p,q)\)-primary manifolds which are (tangentially) homotopy equivalent are homeomorphic or not in the metastable range \(2p>q>1\). Let us recall that \(M\) is called \((p,q)\)-primary if it is a simply connected smooth \(m\)-manifold satisfying the following conditions: (1) \(H_i(M)=0\) except for \(i=0,p,q\), \(m=p+q\) \((0<p<q)\), and (2) the tangent bundle of \(M\) is trivial on its \(p\)-skeleton [\textit{H. Ishimoto}, Q. J. Math., Oxf. II. Ser. 46, No. 184, 453-469 (1995; Zbl 0860.55010)].
Mathematics Subject Classification ID: 57N99
Mathematics Subject Classification ID: 55P10
zbMATH DE Number: 1319572
zbMATH Keywords: homeomorphic manifolds
zbMATH Keywords: classification of manifolds
reviewed by: Radu Iordănescu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250518007
OpenAlex ID: W1599719970
DOI: 10.1215/KJM/1250518007
description: scientific article; zbMATH DE number 1319572