Online First Articles

On set-star-C-Menger spaces

Published in: Quaestiones Mathematicae
Volume 48 , issue 5 , 2025 , pages: 837–851

DOI: 10.2989/16073606.2025.2457694

Author(s): Sumit Singh Ramjas College, University of Delhi, University Enclave, India

Keywords: Primary: 54D20 , Secondary: 54C10 , Menger , star-Menger , star-C-Menger , set-star-Menger , set-star-C-Menger , topological space

Download full text Get new issue alerts

Abstract

Motivated by the Arhangel’skii [2] “s-Lindelöf cardinal function” and Kočinac, Konca, and Singh [15] set-star covering properties, we introduce the setstar-C-Menger property. A space X is said to have the set-star-C-Menger property if for each nonempty subset A of X and each sequence of families of open subsets of X such that for each n ∈ ℕ, there is a sequence (K_n : n ∈ ℕ) of countably compact subsets of X such that . In this paper, we investigate the relationship between the set-star-C-Menger and other related properties and study the topological properties of the set-star-C-Menger property.

« Nonlinear maps preserving asymptotic equivalence on B(X)

Corrigendum to “Spectrum of the Cesàro-Hardy operator in rearrangement invariant spaces” Quaestiones Mathematicae, 47(6) (2024), 1157–1175. »