3 papers
math.GN2022
Iterations and unions of star selection properties on topological spaces
Javier Casas-de la Rosa, William Chen-Mertens, Sergio Garcia-Balan
In this paper, we investigate what selection principles properties are possessed by small (with respect to the bounding and dominating numbers) unions of spaces with certain (star)…
math.GN2019
Selectivity properties of spaces
William Chen-Mertens, Paul J. Szeptycki
This paper addresses several questions of Feng, Gruenhage, and Shen which arose from Michael's theory of continuous selections from countable spaces. We construct an example of a s…
math.GN2019
The effect of forcing axioms on the tightness of the modification
William Chen-Mertens, Paul J. Szeptycki
We show that implies that the tightness of the -modification of a Fréchet -space is at most , while implies that there is a Fré…