<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>It is proved that for an extremally disconnected <italic>S</italic>-paracompact-<italic>T</italic><sub>2</sub> 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 <italic>θ</italic>-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.</p>
</abstract>

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.

Remarks on Semi-Menger and Star Semi-Menger Spaces

Tatra Mountains Mathematical Publications

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

{"article-title":"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,...

Remarks on Semi-Menger and Star Semi-Menger Spaces

Published Online: Nov 29, 2022

Page range: 57 - 68

Received: May 29, 2022

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

Keywords
semi-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.

Remarks on Semi-Menger and Star Semi-Menger Spaces

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