Iterations and unions of star selection properties on topological spaces
Javier Casas-de La Rosa,
William Chen-mertens,
Sergio A. Garcia-balan
Abstract: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) selection principles.. Furthermore, we give several results about iterations of these properties and weaker properties than paracompactness. In addition, we study the behaviour of these iterated properties on $\Psi$-spaces. Finally, we show that, consistently, there is a normal star-Menger space that is not strongly star-Menger; thi… Show more
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