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The Smirnov compactification as a quotient space of the Stone-Čech compactification

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  • T. B. M. McMaster

Abstract

For a separated proximity space, a decomposition of the Stone-Čech compactification is presented which produces the Smirnov compactification and its basic properties by elementary arguments without recourse to clusters or totally bounded uniformities.

Suggested Citation

  • T. B. M. McMaster, 1988. "The Smirnov compactification as a quotient space of the Stone-Čech compactification," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:205987
    DOI: 10.1155/S0161171288000596
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