Constructive Continuity
Mark Mandelkern
Jan 1983 · American Mathematical Society: Memoirs of the American Mathematical Society Ibhuku elingu-277 · American Mathematical Soc.
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There are two long outstanding constructivity problems concerning real-valued functions on the closed unit interval: (i) is every function continuous? (ii) is every continuous function uniformly continuous? In this paper the method of reliefs is introduced to aid the study of these problems. While so far leading to no definitive solutions, the method has yielded a few partial results, and might be used as a basis for further investigations.
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