TY - JOUR
AU - Guldurdek, Asli
PY - 2023/01/29
Y2 - 2023/06/06
TI - More on Ideal Rothberger Spaces
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 16
IS - 1
SE -
DO - 10.29020/nybg.ejpam.v16i1.4625
UR - https://ejpam.com/index.php/ejpam/article/view/4625
SP - 1-4
AB - <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>
ER -