R. Lakehal

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Articles: 1

On neighbourhood semi-star Rothberger (Menger and Hurewiez) spaces

MFAT 31 (2025), no. 1, 47-55

47-55

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.

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