Compact spaces of separately continuous
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Sergei P. Gul'ko; Gennady A. Sokolov
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Article
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2000
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Elsevier Science
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English
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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