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arXiv 2016-01-25 0 views

Compact subspace of products of linearly ordered spaces and co-Namioka spaces

Mykhaylyuk, Volodymyr

Original · EN

It is shown that for any Baire space X, linearly ordered compact spaces Y₁,, Yₙ, compact space Y Y₁× × Yₙ such that for every parallelepiped W Y₁× × Yₙ the set Y∩ W is connected, and separately continuous mapping f:X× Y there exists a dense in X Gδ-set A X such that f is jointly continuous at every point of A× Y.

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