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One-Point Discontinuities of Separately Continuous Functions on the Product of Two Compact Spaces

โœ Scribed by V. V. Mykhailyuk


Book ID
106553423
Publisher
Springer
Year
2005
Tongue
English
Weight
297 KB
Volume
57
Category
Article
ISSN
0041-5995

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๐Ÿ“œ SIMILAR VOLUMES


Compact spaces of separately continuous
โœ Sergei P. Gul'ko; Gennady A. Sokolov ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 92 KB

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