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Compact spaces of separately continuous functions in two variables

✍ Scribed by Sergei P. Gul'ko; Gennady A. Sokolov

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 92 KB
Volume: 107
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00119-4

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✦ Synopsis

For compacta X and Y , let SC p (X × Y ) be the space of all separately continuous functions on the product X × Y with the topology of pointwise convergence. We prove that any compact subspace Z in SC p (X × Y ) is a Corson compactum in the case where X or Y is ccc (= has the Souslin property). We study this new class of compacta.

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