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
• DOI: 10.1016/s0166-8641(99)00011-5

✦ 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.