Hyperspaces which are products
type: Item
instance of: scholarly article
title: Hyperspaces which are products
zbMATH Open document ID: 0910.54012
DOI: 10.1016/S0166-8641(96)00178-2
author: Alejandro Illanes
published in: Topology and its Applications
publication date: 1999-04-15T00:00:00Z
review text: Suppose \(X\) is a continuum. Then \(X\) is a circle or an arc if and only if the hyperspace of subcontinua of \(X\) is a finite dimensional product of two nondegenerate continua. This solves a problem posed by \textit{S. B. Nadler jun.} [ Fundam. Math. 108, 43-66 (1980; Zbl 0456.54023)]. The author also solves another problem of Nadler by giving an example of a non-locally connected continuum whose hyperspace of subcontinua is a cartesian product.
Mathematics Subject Classification ID: 54B20
Mathematics Subject Classification ID: 54F15
Mathematics Subject Classification ID: 54E99
zbMATH DE Number: 1067519
zbMATH Keywords: wrinkle
reviewed by: S. Naimpally
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1067519