Relations between some topologies

Authors

  • T. Hatice Yalvac Hacettepe University, Faculty of Science, Department of Mathematics, 06532 Beytepe, Ankara-Turkey Author

Keywords:

$\alpha$-equivalent topologies, $*$-equivalent topologies, semi-open sets, preopen sets, semi-pre-open sets, $\alpha$-open sets

Subjects:

54A05, 54A10, 54C08, 54C10

Abstract

Generalizations of openness, such as semi-open, preopen,semi-pre-open, $\alpha$-open, etc\. are important in topologicalspaces and in particular in topological spaces on which ideals aredefined. $\alpha$-equivalent topologies and $*$-equivalenttopologies with respect to an ideal have some common properties.Relations between these aforementioned notions of openness areinvestigated within the framework of $\alpha$-equivalence and$*$-equivalence.

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Published

2007-07-15

Issue

Vol. 59 No. 3 (2007): Vol. 59, Issue 3

Section

Articles

License

Copyright (c) 2007 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.