Concentrated sets and $\gamma$-sets in the Miller model
General Topology
2024-06-24 v2
Abstract
Using combinatorial covering properties, we show that there is no concentrated set of reals of size in the Miller model. The main result refutes a conjecture of Bartoszy\'{n}ski and Halbeisen. We also prove that there are no -set of reals of size in the Miller model.
Cite
@article{arxiv.2310.03864,
title = {Concentrated sets and $\gamma$-sets in the Miller model},
author = {Valentin Haberl and Piotr Szewczak and Lyubomyr Zdomskyy},
journal= {arXiv preprint arXiv:2310.03864},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2204.08257