Any \(T_1\) space has a continuous poset model
type: Item
instance of: scholarly article
title: Any \(T_1\) space has a continuous poset model
zbMATH Open document ID: 1173.54010
author: N. E. Zubov
published in: Topology and its Applications
publication date: 2009-08-20T00:00:00Z
review text: The authors study those topological spaces that have continuous models, that is, are homeomorphic to the space of maximal elements of a continuous partially ordered set. Their main result states that each \(T_1\) topological space has a continuous model. Their approach generalizes and modifies a machinery developed by Bennett and Lutzer. They also provide a bitopological characterization of those topological spaces that can be modeled by a continuous poset.
Mathematics Subject Classification ID: 54D10
Mathematics Subject Classification ID: 06F30
Mathematics Subject Classification ID: 54E55
zbMATH DE Number: 5597568
zbMATH Keywords: bitopological spaces
zbMATH Keywords: continuous posets
zbMATH Keywords: maximal point space
zbMATH Keywords: pairwise completely regular spaces
reviewed by: Hans Peter Künzi
MaRDI profile type: Publication
full work available at URL: j.topol.2009.05.007
OpenAlex ID: W2063038805
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DOI: 10.1016/J.TOPOL.2009.05.007
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description: scientific article; zbMATH DE number 5597568