$\beta$-connectedness and $\Cal S$-connectedness of topological spaces

Authors

  • Zbigniew Duszyński Institute of Mathematics, Casimirus the Great University, Pl. Weyssenhoffa 11, 85-072 Bydgoszcz, Poland Author

Keywords:

$\alpha$-open, semi-open, b-open, b-connected, $\beta$-connected, semi-connected

Subjects:

54C08, 54B05

Abstract

Characterizations of $\beta$-connectedness and $\CalS$-connectedness of topological spaces are investigated. Furtherresults concerning preservation of these connectedness-likeproperties under surjections are obtained. The paper completes ourprevious study [Z. Duszyński, {ıt On some concepts of weakconnectedness of topological spaces}, Acta Math. Hungar. {\bf 110}(2006), 81–90].

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Published

2011-04-15

Issue

Vol. 63 No. 2 (2011): Vol. 63, Issue 2

Section

Articles

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Copyright (c) 2011 Authors retain copyright to their work.

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