Q-points and Q-measures in Banach Spaces
- Prelegent(ci)
- Luis David Reyes Saenz
- Afiliacja
- National Autonomous University of Mexico
- Język referatu
- polski
- Termin
- 16 kwietnia 2025 16:15
- Pokój
- p. 5050
- Seminarium
- Seminarium „Topologia i teoria mnogości”
I will talk about some recent developments regarding Q-points and Q-measures and their relation to problems in Banach space theory. In particular we will present two characterizations of Q-points: one similar to the classical Mathias' theorem for selective ultrafilters, the other one uses the language of L-orthogonal sequences and L-orthogonal elements in Banach Spaces. We will use these characterizations as a motivation to introduce Q^+(\omega) measures and present some results that generalize known results about Q-points.
The results are consequence of joint work with Antonio Aviles, Michael Hrusak, Gonzalo Martinez-Cervantes, and Alejandro Poveda.