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Categories of certain minimal topological spaces

Published online by Cambridge University Press:  09 April 2009

Manuel P. Berri
Manuel P. Berri
Affiliation:
Tulane University of Louisiana
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The main purpose of this paper is to discuss the categories of the minimal topological spaces investigated in [1], [2], [7], and [8]. After these results are given, an application will be made to answer the following question: If is the lattice of topologies on a set X and is a Hausdorff (or regular, or completely regular, or normal, or locally compact) topology does there always exist a minimal Hausdorff (or minimal regular, or minimal completely regular, or minimal normal, or minimal locally compact) topology weaker than ?

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 4 , Issue 1 , February 1964 , pp. 78 - 82
Copyright
Copyright © Australian Mathematical Society 1964

References

[1]Berri, Manuel P., Minimal Topological Spaces, Trans. Amer. Math. Soc. 1 (1963), 97–105.Google Scholar
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