Elastic spaces may snap under perfect maps
type: Item
instance of: scholarly article
title: Elastic spaces may snap under perfect maps
zbMATH Open document ID: 0881.54033
DOI: 10.1016/S0166-8641(96)00156-3
author: Paul Gartside
author: P. J. Moody
published in: Topology and its Applications
publication date: 1998-02-08T00:00:00Z
review text: The authors prove, among other results, the following: (1) The perfect image of an elastic space need not be elastic. (2) There exist compact first countable spaces which are stratonormal but not elastic. (3) There is a stratifiable space \(S\) such that the Alexandroff duplicate \({\mathcal D}(X)\) is not elastic.
Mathematics Subject Classification ID: 54E20
Mathematics Subject Classification ID: 54C10
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 54B99
Mathematics Subject Classification ID: 54C20
zbMATH DE Number: 1054145
zbMATH Keywords: stratonormal space
zbMATH Keywords: elastic space
zbMATH Keywords: stratifiable space
reviewed by: Carlos R. Borges
MaRDI profile type: Publication
cites work: On stratifiable spaces
cites work: A Study of Monotonically Normal Spaces
cites work: Q4728998
cites work: Q3994935
cites work: Trees and proto-metrizable spaces
cites work: A note on proto-metrisable spaces
cites work: Q4285419
cites work: Proto-metrisable spaces are elastic
cites work: Q4115804
cites work: Ortho-Bases and Monotonic Properties
cites work: Einbettung metrischer Räume
cites work: A relation between perfect separability, completeness, and normality in semi-metric spaces
cites work: The product of a normal space and a metric space need not be normal
cites work: Q4104980
cites work: Paracompactness and Elastic Spaces
cites work: Linearly stratifiable spaces
cites work: Q4281196
Recommended article: Q4728998
Recommended article: Nearly Circular Connections of Elastic Half Spaces
Recommended article: On Stratifiable and Elastic Spaces
Recommended article: Elasticity in Apéry Sets
Recommended article: Proto-metrisable spaces are elastic
Recommended article: Q4682099
Recommended article: Elasticae in a Riemannian submanifold
Recommended article: On the elastic closed plane curves
Recommended article: Hyperelastic curves along Riemannian maps
Recommended article: Q3418297
description: scientific article; zbMATH DE number 1054145