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- W197673795 abstract "We study systematically a class of spaces introduced by Sokolov and call them Sokolov spaces. Their importance can be seen from the fact that every Corson compact space is a Sokolov space. We show that every Sokolov space is collectionwise normal, !-stable and !-monolithic. It is also established that any Sokolov compact space X is Frechet-Urysohn and the space Cp(X) is Lindelof. We prove that any Sokolov space with a G�-diagonal has a countable network and obtain some cardinality restrictions on subsets of small pseudocharacter lying in �-products of cosmic spaces." @default.
- W197673795 created "2016-06-24" @default.
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- W197673795 date "2005-01-01" @default.
- W197673795 modified "2023-09-23" @default.
- W197673795 title "A nice class extracted from Cp-theory" @default.
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