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Selection principles in the Laver, Miller, and Sacks models. (English) Zbl 1498.03120

Scheepers, Marion (ed.) et al., Centenary of the Borel conjecture. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 755, 229-242 (2020).
Summary: 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.
For the entire collection see [Zbl 1454.03010].

MSC:

03E35 Consistency and independence results
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54C50 Topology of special sets defined by functions
03E05 Other combinatorial set theory
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