Title of article
Projective σ-compactness, ω1-caliber, and Cp-spaces
Author/Authors
Arhangelʹskii، نويسنده , , A.V.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2000
Pages
14
From page
13
To page
26
Abstract
A space is called projectively σ-compact, if every separable metrizable continuous image of this space is σ-compact. In particular, we establish when Cp(X) is projectively σ-compact. In the last section, a theorem on cardinality of Lindelöf spaces is proved and then applied to obtain a result in Cp-theory.
Keywords
Analytic space , K-analytic space , Hurewicz space , Lindel?f space , Density , Weight , Projective ?-compactness
Journal title
Topology and its Applications
Serial Year
2000
Journal title
Topology and its Applications
Record number
1576224
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