In: Tatra Mountains Mathematical Publications, vol. 81, no. 1
Gaurav Kumar - Brij K. Tyagi
Details:
Year, pages: 2022, 57 - 68
Language: eng
Keywords:
semi-open set, semi-Menger space, star semi-Menger space, $S$-paracompact space.
Article type: Real Functions
Document type: scientific paper pdf
About article:
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.
How to cite:
ISO 690:
Kumar, G., Tyagi, B. 2022. Remarks on semi-Menger and star semi-Menger spaces. In Tatra Mountains Mathematical Publications, vol. 81, no.1, pp. 57-68. 1210-3195. DOI: https://doi.org/ 10.2478/tmmp-2022-0003
APA:
Kumar, G., Tyagi, B. (2022). Remarks on semi-Menger and star semi-Menger spaces. Tatra Mountains Mathematical Publications, 81(1), 57-68. 1210-3195. DOI: https://doi.org/ 10.2478/tmmp-2022-0003
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 22. 11. 2022
Rights:
https://creativecommons.org/licenses/by-nc-nd/4.0/