Products of Luzin-type sets with combinatorial properties
| Autor: | Grzegorz Wiśniewski, Piotr Szewczak |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Discrete mathematics
General Topology (math.GN) Random model Mathematics::General Topology Mathematics - Logic 54D20 03E17 Type (model theory) Mathematics::Logic Product (mathematics) FOS: Mathematics Geometry and Topology Construct (philosophy) Logic (math.LO) Real line Mathematics - General Topology Mathematics |
| DOI: | 10.48550/arxiv.1903.05208 |
| 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: | OpenAIRE |
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