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arXiv · 1710.04070

Delta-epsilon functions and uniform continuity on metric spaces

César Adolfo Hernández Melo
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Abstract

Under certain general conditions, an explicit formula to compute the greatest delta-epsilon function of a continuous function is given. From this formula, a new way to analyze the uniform continuity of a continuous function is given. Several examples illustrating the theory are discussed.

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César Adolfo Hernández Melo. 2017-10-09. Delta-epsilon functions and uniform continuity on metric spaces. https://arxiv.org/abs/1710.04070

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