Compactness notions for an apartness space

Archive for Mathematical Logic 51 (5-6):517-534 (2012)
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Abstract

Two new notions of compactness, each classically equivalent to the standard classical one of sequential compactness, for apartness spaces are examined within Bishop-style constructive mathematics.

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Citations of this work

Apartness spaces and uniform neighbourhood structures.Douglas S. Bridges - 2016 - Annals of Pure and Applied Logic 167 (9):850-864.

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References found in this work

Elements of Intuitionism.Michael Dummett - 1977 - New York: Oxford University Press. Edited by Roberto Minio.
Constructivism in mathematics: an introduction.A. S. Troelstra - 1988 - New York, N.Y.: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.. Edited by D. van Dalen.
Foundations of Constructive Analysis.John Myhill - 1972 - Journal of Symbolic Logic 37 (4):744-747.
Constructive Analysis.Errett Bishop & Douglas Bridges - 1987 - Journal of Symbolic Logic 52 (4):1047-1048.
Constructive set theory.John Myhill - 1975 - Journal of Symbolic Logic 40 (3):347-382.

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