@article{Guldurdek_2023, title={More on Ideal Rothberger Spaces}, volume={16}, url={https://ejpam.com/index.php/ejpam/article/view/4625}, DOI={10.29020/nybg.ejpam.v16i1.4625}, abstractNote={<p>The aim of this note is to provide an answer to a question posted in a recent paper. In 2018, after introducing the notion of Ideal Rothberger space, author examines some properties of these spaces. Also there has been a comparison of the spaces (X, τ ), and (X, τ<sup>∗</sup>) in terms of being (ideal)Rothberger. According to this, it is shown that if (X, τ<sup>∗</sup>) is a Rothberger space, then (X, τ ) is also Rothberger. Therefore, naturally it is asked that, if one can find some extra conditions for ideal I, then the opposite also holds. Thus, for which ideal I, an I-Rothberger space (X, τ ) implies an I-Rothberger space (X, τ<sup>∗</sup>)? In this work it has been proved that I is a σ-ideal, and τ is compatible with I, which provides the solution.</p>}, number={1}, journal={European Journal of Pure and Applied Mathematics}, author={Guldurdek, Asli}, year={2023}, month={Jan.}, pages={1–4} }