Hopf bundles and n-soft dimension-raising mappings
type: Item
instance of: scholarly article
title: Hopf bundles and n-soft dimension-raising mappings
zbMATH Open document ID: 0594.54013
published in: Moscow University Mathematics Bulletin
publication date: 1985-01-01T00:00:00Z
review text: Using the well-known Hopf bundles, the author sketches a proof of the following theorem for \(n=1:\) For \(n=1,3,7\) there exist an \((n+1)\)- dimensional compact metric space \(X_ n\) and an n-soft mapping \(g_ n:X_ n\to Q\), where \(X_ n\) is the limit of an inverse sequence \(S_ n=\{M_ i,f_ i^{i+1}\}\), \(M_ i\) are Q-manifolds and \(g_ n\) is the projection of \(X_ n\) onto \(M_ 1=Q\). Moreover, each set \((f_ i^{i+1})^{-1}(x)\) is either a point or the (topological) sphere \(S^ n\).
reviewed by: H. Patkowska
Mathematics Subject Classification ID: 54C10
Mathematics Subject Classification ID: 54F45
Mathematics Subject Classification ID: 54B35
Mathematics Subject Classification ID: 54E45
zbMATH DE Number: 3955954
zbMATH Keywords: inverse spectrum of Q-manifolds
zbMATH Keywords: Hilbert cube
zbMATH Keywords: n-soft mapping
author: Alexander Dranishnikov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3955954