Some properties of selectively star-ccc spaces

TL;DR

This paper explores the properties of selectively star-ccc spaces, establishing their relationships with chain conditions and star-Lindelöf properties, and provides examples addressing open questions in the field.

Contribution

It introduces new connections between selectively star-ccc properties and other topological conditions, and offers solutions to previously posed questions.

Findings

Established links between selectively k-star-ccc and chain conditions

Presented examples solving open questions about selectively k-star-ccc spaces

Enhanced understanding of star-Lindelöf properties in topology

Abstract

In this paper, the author first establish the connections between the selectively $k$-star-ccc properties, the chain conditions and other star-Lindel\"of properties. Secondly, some examples are presented to solve questions raised by Xuan and Song about the selectively $k$-star-ccc spaces.