Products of Luzin-type sets with combinatorial properties
General Topology
2019-03-14 v1 Logic
Abstract
We construct Luzin-type subsets of the real line in all finite powers Rothberger, with a non-Menger product. To this end, we use a purely combinatorial approach which allows to weaken assumptions used earlier to construct sets with analogous properties. Our assumptions hold, e.g., in the Random model, where already known category theoretic methods fail.
Cite
@article{arxiv.1903.05208,
title = {Products of Luzin-type sets with combinatorial properties},
author = {Piotr Szewczak and Grzegorz Wiśniewski},
journal= {arXiv preprint arXiv:1903.05208},
year = {2019}
}
Comments
17 pages