Strong continuity implies uniform sequential continuity
نویسندگان
چکیده
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 Heyting arithmetic.
منابع مشابه
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ورودعنوان ژورنال:
- Arch. Math. Log.
دوره 44 شماره
صفحات -
تاریخ انتشار 2005