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• W2263199123 abstract "The Ostrowski theorem in question is that an additive function bounded (above, say) on a set T of positive measure is continuous. In the converse direction, recall that a topological space T is pseudocompact if every function continuous on T is bounded. Thus theorems of `converse Ostrowski' type relate to `additive (pseudo)compactness'. We give a different characterization of such sets, in terms of the property of `generic subuniversality', arising from the Kestelman-Borwein-Ditor theorem." @default.
• W2263199123 created "2016-06-24" @default.
• W2263199123 creator A5057015154 @default.
• W2263199123 creator A5087599446 @default.
• W2263199123 date "2007-01-01" @default.
• W2263199123 modified "2023-10-14" @default.
• W2263199123 title "The Converse Ostrowski Theorem" @default.
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