IJPAM: Volume 89, No. 2 (2013)
STONE AND KATĔTOV
Emeritus, Department of Mathematics
Washington, DC 20059, USA
Department of Mathematics
Morgan State University
Baltimore, MD 21251, USA
Abstract. In 1937 M.H. Stone proved that a space is compact if and only if each of its closed subspaces is H-closed, using Boolean Algebra. In 1940, M. Katĕtov gave a topological proof of the same result. In this note we give a new and simpler proof of this result.
Received: October 18, 2013
AMS Subject Classification: 54D25, 54B10
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DOI: 10.12732/ijpam.v89i2.13 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395