Selection Principles in the Laver, Miller, and Sacks models
Logic
2019-11-13 v1 General Topology
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.
Cite
@article{arxiv.1911.04480,
title = {Selection Principles in the Laver, Miller, and Sacks models},
author = {Lyubomyr Zdomskyy},
journal= {arXiv preprint arXiv:1911.04480},
year = {2019}
}
Comments
Comments are welcome. To appear in Contemporary Mathematics volume devoted to 100 years of Borel Conjecture. arXiv admin note: text overlap with arXiv:1712.03899