Free deformation retraction in injective metric spaces
type: Item
instance of: scholarly article
title: Free deformation retraction in injective metric spaces
zbMATH Open document ID: 0705.54021
author: Yun Tang
author: Jiehua Mai
published in: Chinese Annals of Mathematics. Series B
publication date: 1989-01-01T00:00:00Z
review text: \textit{J. Isbell} proved that in every injective metric space X (with respect to contractions) each of its points is a free deformation retract of X [Comment. Math. Helv. 39, 65-76 (1964; Zbl 0151.302)]. The present authors generalize this result by replacing the points by the connected sets \(A\subset X\) having the property that \(A\cap \cap {\mathcal B}\neq \emptyset\) whenever the family (A)\(\cup {\mathcal B}\) is linked (each two members meet), and \({\mathcal B}\) is a family of closed balls in X.
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 4157466
zbMATH Keywords: injective metric
zbMATH Keywords: deformation retract
reviewed by: M. Hušek
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4157466