Products of Luzin-type sets with combinatorial properties

Autor:	Szewczak, Piotr, Wiśniewski, Grzegorz
Rok vydání:	2019
Předmět:	Mathematics - General Topology Mathematics - Logic 54D20 03E17
Druh dokumentu:	Working Paper
Popis:	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. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1903.05208 Zobrazit plný text záznamu View this record from Arxiv