Title of article
Compact universals
Author/Authors
Gartside، نويسنده , , Paul J Marsh، نويسنده , , Andrew، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2004
Pages
13
From page
1
To page
13
Abstract
A Tychonoff space X has a zero-set or an open regular Fσ universal parametrised by a σ-compact space if and only if X is metrisable. Weakening the condition to the parametrising space being Lindelöf-Σ implies that X is strongly quasi-developable.
as an open Fσ universal parametrised by a σ-compact space then X is developable. In this case if the parametrising space is Lindelöf-Σ then X has a quasi-development. Some examples are given.
Keywords
Open regular F? universals , Continuous function universals , Moore spaces , Lindel?f-? spaces , Strongly quasi-developable spaces , Metric spaces , Zero-set universals , Open F? universals , Compact spaces
Journal title
Topology and its Applications
Serial Year
2004
Journal title
Topology and its Applications
Record number
1576982
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