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E-compactness and continuous function spaces

✍ Scribed by W. Govaerts


Publisher
Akadmiai Kiad
Year
1978
Tongue
English
Weight
537 KB
Volume
32
Category
Article
ISSN
1588-2632

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Compact spaces of separately continuous
✍ Sergei P. Gul'ko; Gennady A. Sokolov πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 92 KB

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