On projected embeddings and desuspending the \(\alpha\)-invariant
type: Item
instance of: scholarly article
title: On projected embeddings and desuspending the \(\alpha\)-invariant
zbMATH Open document ID: 1015.57019
DOI: 10.1016/S0166-8641(01)00237-1
published in: Topology and its Applications
publication date: 2003-03-10T00:00:00Z
review text: A map \(f:K\to L\) is called a projected embedding from \(L\times B^s\) if there is an embedding \(F:K\to L\times B^s\) such that \(f=\pi\circ F\), where \(\pi:L\circ B^s\to L\) is the projection. A map \(f:S^p\coprod S^2\to S^m\) is a link map if \(fS^p\cap fS^q=\emptyset\). We apply projected embeddings to desuspending the \(\alpha\)-invariant of link maps and to embeddings of double covers into Euclidean space.
Mathematics Subject Classification ID: 57R40
Mathematics Subject Classification ID: 57Q55
Mathematics Subject Classification ID: 57Q45
zbMATH DE Number: 1879082
zbMATH Keywords: embedding into Euclidean space
zbMATH Keywords: approximability by embeddings
zbMATH Keywords: \(\alpha\)-invariant
zbMATH Keywords: equivariant suspension isomorphism
zbMATH Keywords: equivariant map
zbMATH Keywords: projected embedding
zbMATH Keywords: double point set
author: Dušan Repovš
author: A. B. Skopenkov
reviewed by: Alexander A. Borisenko
MaRDI profile type: Publication
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full work available at URL: s0166-8641(01)00237-1
OpenAlex ID: W2042449118
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description: scientific article; zbMATH DE number 1879082