Compactifications of products of metric spaces and their relations to Čech-Stone and Smirnov compactifications
type: Item
instance of: scholarly article
title: Compactifications of products of metric spaces and their relations to Čech-Stone and Smirnov compactifications
zbMATH Open document ID: 0802.54018
DOI: 10.1016/0166-8641(94)90116-3
author: K. Robeys
author: Robert Lowen
published in: Topology and its Applications
publication date: 1994-03-10T00:00:00Z
full work available at URL: https://hdl.handle.net/10067/97360151162165141
review text: As one can investigate compactifications of uniform spaces, the authors investigate compactifications of members of the epireflective hull of metric spaces in the category of approach spaces. There are close connections of such compactifications to the Smirnov or Čech-Stone ones. In particular, some fine metrics can be extended to distance functions between points and sets on \(\beta X\), fully describing the topology of \(\beta X\). Such a distance function is described and studied on \(\beta N\).
Mathematics Subject Classification ID: 54D35
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 54E05
Mathematics Subject Classification ID: 18B30
Mathematics Subject Classification ID: 54B30
zbMATH DE Number: 500693
zbMATH Keywords: approach space
zbMATH Keywords: distance function
reviewed by: M. Hušek
MaRDI profile type: Publication
OpenAlex ID: W2019285681
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description: scientific article; zbMATH DE number 500693