On quasi-Souslin Cc(X) spaces
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We prove that the space Cc(X) of the real-valued continuous functions with the compact-open topology is quasi-Souslin iff it is K-analytic. This implies that Cc(X) is K-analytic iff it is dominated by the irrationals.
Key words and phrasesK-analytic space quasi-Souslin space domination by the irrationals
2000 Mathematics Subject Classification54C14 54D09 46A03
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