Remarks on Semi-Menger and Star Semi-Menger Spaces

It is proved that for an extremally disconnected S-paracompact-T₂ spaces the properties semi-Menger, Menger, strongly star semi-Menger, strongly star-Menger, star semi-Menger, star-Menger, almost semi-Menger, almost Menger, almost star semi-Menger, almost star-Menger are equivalent. We show that a weakly 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.

Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, General Mathematics

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Remarks on Semi-Menger and Star Semi-Menger Spaces

Gaurav Kumar

Brij K.Tyagi

Published Online: Nov 29, 2022

Page range: 57 - 68

Received: May 29, 2022

DOI: https://doi.org/10.2478/tmmp-2022-0003

Keywordssemi-open set, semi-Menger space, star semi-Menger space, -paracompact space

© 2022 Gaurav Kumar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
semi-open set, semi-Menger space, star semi-Menger space, -paracompact space