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• W2008147108 abstract "Let B be an ideal of subsets of a metric space 〈X,d〉. This paper considers a strengthening of the notion of uniform continuity of a function restricted to members of B which reduces to ordinary continuity when B consists of the finite subsets of X and agrees with uniform continuity on members of B when B is either the power set of X or the family of compact subsets of X. The paper also presents new function space topologies that are well suited to this strengthening. As a consequence of the general theory, we display necessary and sufficient conditions for continuity of the pointwise limit of a net of continuous functions." @default.
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• W2008147108 date "2009-02-01" @default.
• W2008147108 modified "2023-10-02" @default.
• W2008147108 title "Strong uniform continuity" @default.
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• W2008147108 doi "https://doi.org/10.1016/j.jmaa.2008.03.058" @default.
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