Absolute F-valued retracts and spaces of functions in the topology of pointwise convergence
type: Item
instance of: scholarly article
title: Absolute F-valued retracts and spaces of functions in the topology of pointwise convergence
zbMATH Open document ID: 0622.54027
DOI: 10.1007/BF00969273
published in: Siberian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: The author considers the functors \(F:SP^ n\), \(\exp_ n\) and \(P_ n\). Some properties of the F-valued absolute retracts are proved and some connections between them and the strongly Dugundji spaces are found. For any open subsets \(U,V\subset R^ n\) the spaces \(C_ p(U)\) and \(C_ p(V)\) are proved to be linearly homeomorphic.
reviewed by: H. Patkowska
Mathematics Subject Classification ID: 54C55
Mathematics Subject Classification ID: 54C35
Mathematics Subject Classification ID: 54C60
zbMATH DE Number: 4009308
zbMATH Keywords: class of bicompacta
zbMATH Keywords: nth hypersymmetric power
zbMATH Keywords: functor of probability measures
zbMATH Keywords: Peano continua
zbMATH Keywords: F-valued absolute retracts
zbMATH Keywords: strongly Dugundji spaces
author: Alexander Dranishnikov
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00969273
OpenAlex ID: W2066498013
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description: scientific article; zbMATH DE number 4009308