Title of article
On dense subspaces of generalized ordered spaces
Author/Authors
Bennett، نويسنده , , Harold R. and Lutzer، نويسنده , , David J. and Purisch، نويسنده , , Steven D.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 1999
Pages
15
From page
191
To page
205
Abstract
In this paper we study four properties related to the existence of a dense metrizable subspace of a generalized ordered (GO) space. Three of the properties are classical, and one is recent. We give new characterizations of GO-spaces that have dense metrizable subspaces, investigate which GO-spaces can embed in GO-spaces with one of the four properties, and provide examples showing the relationships between the four properties.
Keywords
GO-space , Linearly ordered space , Dense metrizable subset , G?-diagonal , Dense ?-discrete subset , Lexicographic products , Perfect spaces , Baire category theorem
Journal title
Topology and its Applications
Serial Year
1999
Journal title
Topology and its Applications
Record number
1579400
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