Strong and Uniform Continuity – the Uniform Space Case
نویسندگان
چکیده
منابع مشابه
Strong continuity implies uniform sequential continuity
A . Uniform sequential continuity, a property classically equivalent to uniform continuity on compact sets, is shown, constructively, to be a consequence of strong continuity on a metric space. It is then shown that in the case of a separable metric space, in order to omit the word sequential from this result, it is necessary and sufficient to adopt a principle (BD-N) that is independent of Hey...
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ژورنال
عنوان ژورنال: LMS Journal of Computation and Mathematics
سال: 2003
ISSN: 1461-1570
DOI: 10.1112/s1461157000000486