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Hereditarily Baire hyperspaces, filters and spaces of measures
- Speaker(s)
- Mikołaj Krupski
- Affiliation
- University of Warsaw
- Date
- Oct. 9, 2019, 4:15 p.m.
- Room
- room 5050
- Seminar
- Topology and Set Theory Seminar
A topological space X is Baire if the intersection of a countable family of open dense sets in X is dense. We say that X is hereditarily Baire if every closed subspace of X is Baire.
It was observed by the speaker that hereditary Baireness of the hyperspace of all nonempty compact subsets of a separable metrizable space X can be conveniently described in terms of a certain topological game on X. I will show how we can apply this result to study hereditary Baireness of two types of objects: hyperspaces over filters on natural numbers and spaces P(X) of Borel Radon probability measures on a separable metrizable space X.
