Some remarks on selectively star-ccc spaces
General Topology
2023-12-05 v1
Abstract
In this paper, the author represent a unification and extension of concepts previously studied by several authors. By establish connections between the chain condition, selectively star-ccc properties and star-Lindel\"of properties, the author provide that selectively -star-ccc equals weakly strongly star-Lindel\"of for normal spaces, which gives a negative answer to Question 4.10 raised by Xuan and Song in \cite{xuan2}, and use a different method from Xuan and Song to provide that the CCC implies selectively -star-ccc, which gives a positive answer to Problem 4.4 in \cite{bal}. Finally, an example is given to distinguish these properties.
Cite
@article{arxiv.2312.01626,
title = {Some remarks on selectively star-ccc spaces},
author = {Yuan Sun},
journal= {arXiv preprint arXiv:2312.01626},
year = {2023}
}