Menger and consonant sets in the Sacks model
Logic
2025-10-28 v3 General Topology
Abstract
Using iterated Sacks forcing and topological games, we prove that the existence of a totally imperfect Menger set in the Cantor cube with cardinality continuum is independent from ZFC. We also analyze the structure of Hurewicz and consonant subsets of the Cantor cube in the Sacks model.
Cite
@article{arxiv.2406.05457,
title = {Menger and consonant sets in the Sacks model},
author = {Valentin Haberl and Piotr Szewczak and Lyubomyr Zdomskyy},
journal= {arXiv preprint arXiv:2406.05457},
year = {2025}
}
Comments
26 pages