On two consequences of CH established by Sierpiński, part 2
- Prelegent(ci)
- Piotr Zakrzewski
- Afiliacja
- UW
- Termin
- 20 marca 2024 16:15
- Pokój
- p. 5050
- Seminarium
- Seminarium „Topologia i teoria mnogości”
We study the relations between two consequences of the Continuum Hypothesis discovered by Wacław Sierpiński, concerning uniform continuity of continuous functions and uniform convergence of sequences of real-valued functions, defined on uncountable subsets of the real line. The subject is closely related to the existence and properties of Lusin sets and K-Lusin sets in the Baire space N^N, i.e., uncountable sets in N^N intersecting each compact set in N^N in an at most countable set.
The results come from two joint papers with Roman Pol, available at
http://arxiv.org/abs/2306.11712 and http://arxiv.org/abs/2403.03110