Proto-metrisable spaces are elastic
type: Item
instance of: scholarly article
title: Proto-metrisable spaces are elastic
zbMATH Open document ID: 0881.54032
DOI: 10.1016/S0166-8641(96)00129-0
author: Paul Gartside
author: P. J. Moody
published in: Topology and its Applications
publication date: 1998-02-08T00:00:00Z
review text: The authors introduce various notions of extendable pair-bases and prove, among other results, the following: (1) A space is proto-metrizable if and only if it has a unitary point extendable pair-base and hence proto-metrizable spaces are elastic. (2) Stratifiable spaces have weakly point extendable pair bases. (3) The class of spaces with weakly point extendable pair-bases is closed under the scattering process, and every space with a weakly point extendable pair-base is elastic.
Mathematics Subject Classification ID: 54E20
Mathematics Subject Classification ID: 54C10
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 54B99
zbMATH DE Number: 1054144
zbMATH Keywords: elastic spaces
zbMATH Keywords: proto-metrizable spaces
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: Elastic spaces may snap under perfect maps
cites work: Q4115804
cites work: Einbettung metrischer Räume
cites work: Q4104980
cites work: Paracompactness and Elastic Spaces
full work available at URL: s0166-8641(96)00129-0
OpenAlex ID: W2095371026
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description: scientific article; zbMATH DE number 1054144