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- 2026
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General and Set-Theoretic Topology
‟On Set-Relatively Star-Menger Subspaces and Related Star Covering Properties” by Sumit Singh <sumit@ramjas.du.ac.in>, Ramjas College, University of Delhi, Delhi, India
‟On Set-Relatively Star-Menger Subspaces and Related Star Covering Properties” by Sumit Singh <sumit@ramjas.du.ac.in>, Ramjas College, University of Delhi, Delhi, India
Abstract:
In this paper, we study set-relatively star-Menger subspaces and their connections with classical and star covering properties. We provide characterizations of set-RSM spaces and show that the family of such subspaces forms an admissible $\sigma$-ideal. Several examples are constructed to clarify relationships with existing notions and to correct earlier claims in the literature. We also investigate preservation properties under mappings and products, and establish equivalences between relative versions of star-K-Menger, star-C-Menger, and star-K-Hurewicz properties with their corresponding set versions.
Author Notes:
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