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      Precompact Apartness Spaces

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          Abstract

          We present a notion of precompactness, and study some of its properties, in the context of apartness spaces whose apartness structure is not necessarily induced by any uniform one. The presentation lies entirely with a Bishop-style constructive framework, and is a contribution to the ongoing development of the constructive theories of apartness and uniformity.

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          Generalising compactness

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            Author and article information

            Journal
            13 May 2012
            2012-06-25
            Article
            10.2168/LMCS-8(2:15)2012
            1205.2931
            ce531fa7-deea-4faf-95b1-7037bd900dc8

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

            History
            Custom metadata
            Logical Methods in Computer Science, Volume 8, Issue 2 (June 25, 2012) lmcs:1052
            cs.LO math.GN
            LMCS

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