Remarks on Semi-Menger and Star Semi-Menger Spaces.

Abstract

It is proved that for an extremally disconnected S-paracompact-T2-space the properties, semi-Menger [19], Menger [16], strongly star semi-Menger [19], strongly star-Menger[8], star semi-Menger [19], star-Menger [8], almost semi-Menger [19], almost Menger [10], almost star semi-Menger[19], almost star-Menger [11] are equivalent. We show that weakly a semi-continuous (strongly θ-semi-continuous) image of semi-Menger (almost semi-Menger) spaces is almost semi-Menger (semi-Menger) respectively. The characterizations of semi-Menger and star semi-Menger spaces are also provided.