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Projective σ-compactness, ω1-caliber, and Cp-spaces

✍ Scribed by A.V. Arhangel'skii


Book ID
104295594
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
128 KB
Volume
104
Category
Article
ISSN
0166-8641

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✦ Synopsis


A space is called projectively σ -compact, if every separable metrizable continuous image of this space is σ -compact. In particular, we establish when C p (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 C p -theory.


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