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Winter 1995 Ultrafilter and Topological Entropy Of Complementary Topologies
Rahim G. Karimpour
Missouri J. Math. Sci. 7(1): 32-38 (Winter 1995). DOI: 10.35834/1995/0701032

Abstract

A topology $\tau$ on a set $X$ is called a complementary topology if for each open set $U$ in $\tau$, its complement $X-U$ is also in $\tau$. These topologies and maximal ideals were characterized by this author. In this paper the relations between maximal ideals of $\tau$ as a Boolean ring and ultrafilters in $\tau$ as a complementary topology have been investigated. Finally these relations have been characterized.

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Rahim G. Karimpour. "Ultrafilter and Topological Entropy Of Complementary Topologies." Missouri J. Math. Sci. 7 (1) 32 - 38, Winter 1995. https://doi.org/10.35834/1995/0701032

Information

Published: Winter 1995
First available in Project Euclid: 17 December 2019

zbMATH: 1097.54500
MathSciNet: MR1322446
Digital Object Identifier: 10.35834/1995/0701032

Rights: Copyright © 1995 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.7 • No. 1 • Winter 1995
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