Abstract
In this paper, we introduce and study new types of star-selection principles, namely semi-neighbourhood semi-star-Rothberger (Menger, Hurewicz, and Lindelöf) and neighbourhood semi-star-Rothberger (Menger, Hurewicz, and Lindelöf) spaces. We establish several properties of these selection principles and investigate their relationships with other selection properties in topological spaces. Furthermore, we present a collection of fundamental theorems and propositions that characterize these spaces.
Key words: Selection principles, semi-star Menger, semi-star Rothberger, semi-star Hurewicz, neighbourhood, semi-open.
Full Text
Article Information
| Title | On neighbourhood semi-star Rothberger (Menger and Hurewiez) spaces |
| Source | Methods Funct. Anal. Topology, Vol. 31 (2025), no. 1, 47-55 |
| DOI | 10.31392/MFAT-npu26_1.2025.05 |
| Milestones | Received 05/12/2024; Revised 03/04/2025 |
| Copyright | The Author(s) 2025 (CC BY-SA) |
Authors Information
Rachid Lakehal
University of Bejaia, Faculty of Technologies, Targa Ouzemour, 06000 Bejaia, Algeria
Citation Example
Rachid Lakehal, On neighbourhood semi-star Rothberger (Menger and Hurewiez) spaces, Methods Funct. Anal. Topology 31
(2025), no. 1, 47-55.
BibTex
@article {MFAT2098,
AUTHOR = {Rachid Lakehal},
TITLE = {On neighbourhood semi-star Rothberger (Menger and Hurewiez) spaces},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {31},
YEAR = {2025},
NUMBER = {1},
PAGES = {47-55},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_1.2025.05},
URL = {https://mfat.imath.kiev.ua/article/?id=2098},
}
