A characterization of absolute retracts
type: Item
instance of: scholarly article
title: A characterization of absolute retracts
zbMATH Open document ID: 0792.54016
DOI: 10.1007/BF00971117
author: P. V. Chernikov
published in: Siberian Mathematical Journal
publication date: 1993-03-18T00:00:00Z
review text: In [\textit{H. Noguchi}, Kōdai Math. Sem. Rep. 1953, 20-22 (1953; Zbl 0052.188)] the concept of an absolute \(\varepsilon\)-retract in the class of all metric compacta is defined. The author proved in [Math. Notes 38, 562-563 (1985); translation from Mat. Zametki 38, No. 1, 89-91 (1985; Zbl 0595.54002)] that the equation \(\varepsilon-\text{AR} \cap \text{ANR} = \text{AR}\) is valid (here \(\varepsilon\)-AR in the set of all absolute \(\varepsilon\)-retracts). In the present paper a generalization of that statement is given.
Mathematics Subject Classification ID: 54C55
zbMATH DE Number: 130797
zbMATH Keywords: absolute retracts
MaRDI profile type: Publication
cites work: A generalization of absolute neighborhood retracts
cites work: Q4720378
cites work: Q5532996
cites work: Extension of continuous maps and the factorization theorem
cites work: Q4117109
full work available at URL: https://doi.org/10.1007/bf00971117
OpenAlex ID: W2004069189
description: scientific article; zbMATH DE number 130797