MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
$\beta$-connectedness and $\Cal S$-connectedness of topological spaces
Zbigniew Duszyński

Abstract

Characterizations of $\beta$-connectedness and $\Cal S$-connectedness of topological spaces are investigated. Further results concerning preservation of these connectedness-like properties under surjections are obtained. The paper completes our previous study [Z. Duszyński, {\it On some concepts of weak connectedness of topological spaces}, Acta Math. Hungar. {\bf 110} (2006), 81--90].

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Keywords: $\alpha$-open; semi-open; b-open; b-connected; $\beta$-connected; semi-connected.

MSC: 54C08, 54B05

Pages:  115$-$126     

Volume  63 ,  Issue  2 ,  2011