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• W2979548616 abstract "Let USCp⋆(X) be the topological space of real upper semicontinuous bounded functions defined on X with the subspace topology of the product topology on RX. Φ˜↑,Ψ˜↑ are the sets of all upper sequentially dense, upper dense or pointwise dense subsets of USCp⋆(X), respectively. We prove several equivalent assertions to that USCp⋆(X) satisfies the selection principles S1(Φ˜↑,Ψ˜↑), including a condition on the topological space X. We prove similar results for the topological space Cp⋆(X) of continuous bounded functions. Similar results hold true for the selection principles Sfin(Φ˜↑,Ψ˜↑)." @default.
• W2979548616 created "2019-10-18" @default.
• W2979548616 creator A5034916596 @default.
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• W2979548616 date "2019-12-01" @default.
• W2979548616 modified "2023-09-24" @default.
• W2979548616 title "Selectors for dense subsets of function spaces" @default.
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• W2979548616 doi "https://doi.org/10.1016/j.topol.2019.106909" @default.
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