✦ LIBER ✦

Pseudoradial spaces: Separable subsets, products and maps onto Tychonoff cubes

✍ Scribed by A. Bella; A. Dow; G. Tironi

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 105 KB
Volume: 111
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00190-x

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✦ Synopsis

We work around our question of whether compact non-pseudoradial spaces have separable such subspaces. We obtain results about products of pseudoradial spaces and obtain more conditions which guarantee that each compact sequentially compact space is pseudoradial. We also discuss some questions of Šapirovskiȋ which are also directed at separating the non-separable from the separable. We reinforce the need to focus on the space I ω 2 .