Compactness notions for an apartness space

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

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.

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 101,047

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Generalising compactness.Hannes Diener - 2008 - Mathematical Logic Quarterly 54 (1):49-57.
Compactness under constructive scrutiny.Hajime Ishihara & Peter Schuster - 2004 - Mathematical Logic Quarterly 50 (6):540-550.
Product a-frames and proximity.Douglas S. Bridges - 2008 - Mathematical Logic Quarterly 54 (1):12-26.
Reclassifying the antithesis of Specker’s theorem.Hannes Diener - 2012 - Archive for Mathematical Logic 51 (7-8):687-693.

Analytics

Added to PP
2013-10-27

Downloads
61 (#343,958)

6 months
8 (#546,836)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

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

Add more citations

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 & Dirk Van Dalen - 1988 - Amsterdam: North Holland. Edited by D. van Dalen.
Constructive set theory.John Myhill - 1975 - Journal of Symbolic Logic 40 (3):347-382.
Constructive Analysis.Errett Bishop & Douglas Bridges - 1987 - Journal of Symbolic Logic 52 (4):1047-1048.
Foundations of Constructive Mathematics.Michael J. Beeson - 1987 - Studia Logica 46 (4):398-399.

View all 6 references / Add more references