On continuous extension of uniformly continuous functions and metrics
نویسندگان
چکیده
منابع مشابه
Between continuous and uniformly continuous functions on R n ∗
We study classes of continuous functions on R that can be approximated in various degree by uniformly continuous ones (uniformly approachable functions). It was proved in [BDP1] that no polynomial function can distinguish between them. We construct examples that distinguish these classes (answering a question from [BDP1]) and we offer appropriate forms of uniform approachability that enable us ...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2009
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm116-2-4