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• W2078543679 abstract "In this paper the techniques of Nonstandard Analysis are used to study topologies on the set of all continuous functions. We obtain nonstandard characterizations for conjoining and splitting topologies and we give a complete description of the monads of the compact-open topology which leads to very elegant and simple proofs of some important results. For example we prove a generalized Ascoli Theorem where the image space is only Hausdorff or regular. Then we apply our results to the hyperspace and solve questions of Arens and Dugundji, Wattenberg and Topsøe. Finally we discuss real compact spaces and the continuity of the diagonal function." @default.
• W2078543679 created "2016-06-24" @default.
• W2078543679 creator A5049914539 @default.
• W2078543679 date "1993-01-01" @default.
• W2078543679 modified "2023-10-14" @default.
• W2078543679 title "Nonstandard topology on function spaces with applications to hyperspaces" @default.
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• W2078543679 doi "https://doi.org/10.1090/s0002-9947-1993-1097169-6" @default.
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