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].
|