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Strong and Uniform Continuity – the Uniform Space Case
Published online by Cambridge University Press: 01 February 2010
Abstract
It is proved, within the constructive theory of apartness spaces, that a strongly continuous mapping from a totally bounded uniform space with a countable base of entourages to a uniform space is uniformly continuous. This lifts a result of Ishihara and Schuster from metric to uniform apartness spaces. The paper is part of a systematic development of computable topology using apartness as the fundamental notion.
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- Copyright © London Mathematical Society 2003
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