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”

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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.

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