Selection Principles in the Laver, Miller, and Sacks models

2019/11/11 by Zdomskyy, Lyubomyr · 2 citations
#03E05 (Secondary) #03E35 #54C50 #54D20 (Primary) #FOS: Mathematics #General Topology (math.GN) #Logic (math.LO)

paper · doi:10.48550/arxiv.1911.04480

Abstract

This article is devoted to the interplay between forcing with fusion and combinatorial covering properties. We discuss known instances of this interplay as well as present a new one, namely that in the Laver model for the consistency of the Borel's conjecture, the Hurewicz property is preserved by finite products of metrizable spaces.

Cited by

• Universally meager sets in the Miller model and similar ones
• Concentrated sets and the Hurewicz property

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