November 2021
Arturo Martinez-Celis: Michael Spaces and Selective Ultrafilters
25/11/21 08:28
Tuesday, November 30, 2021 17:00
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Arturo Martinez-Celis
Title: Michael Spaces and Selective Ultrafilters
Abstract: Lindelöf space X is Michael if it has a non-Lindelöf product with the space of irrational numbers. The existence of these kinds of spaces using only the standard axioms of ZFC is still unknown. We will look into some of the combinatorics related to this problem and discuss its relationships with Selective Ultrafilters.
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Arturo Martinez-Celis
Title: Michael Spaces and Selective Ultrafilters
Abstract: Lindelöf space X is Michael if it has a non-Lindelöf product with the space of irrational numbers. The existence of these kinds of spaces using only the standard axioms of ZFC is still unknown. We will look into some of the combinatorics related to this problem and discuss its relationships with Selective Ultrafilters.
Łukasz Mazurkiewicz: Families of sets closed under Suslin operation
22/11/21 13:00
Tuesday, November 23, 2021 17:00
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Łukasz Mazurkiewicz
Title: Families of sets closed under Suslin operation
Abstract: In the talk we discuss some extensions of classical results regarding closure of measurable sets and sets with Baire property under Suslin operation. This will lead us to the theory of analytic sets, where the example of an analytic set created by Lusin will be considered.
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Łukasz Mazurkiewicz
Title: Families of sets closed under Suslin operation
Abstract: In the talk we discuss some extensions of classical results regarding closure of measurable sets and sets with Baire property under Suslin operation. This will lead us to the theory of analytic sets, where the example of an analytic set created by Lusin will be considered.
Maciej Korpalski: Combinatorial characterization of null set covering
14/11/21 09:06
Tuesday, November 16, 2021 17:00
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Maciej Korpalski
Title: Combinatorial characterization of null set covering
Abstract: In this talk we will recall a result from Bartoszynski regarding partial characterization of covering coefficient of ideal formed by sets with Lebesgue measure equal to zero. This is done in terms of slaloms and small sets. This theorem's proof had some problems along the way and we will see how to fix them.
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Maciej Korpalski
Title: Combinatorial characterization of null set covering
Abstract: In this talk we will recall a result from Bartoszynski regarding partial characterization of covering coefficient of ideal formed by sets with Lebesgue measure equal to zero. This is done in terms of slaloms and small sets. This theorem's proof had some problems along the way and we will see how to fix them.
Grzegorz Plebanek: Generalized Corson compacta and calibers of measures
08/11/21 16:45
Tuesday, November 9, 2021 17:00
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Grzegorz Plebanek
Title: Generalized Corson compacta and calibers of measures
Abstract: We consider compact spaces which can be embedded into a product of real lines so that the support of every element is of size \(<\kappa\); here \(\kappa\) is a fixed cardinal number. We discuss measure-theoretic properties of such spaces and related properties of Banach spaces of continuous functions.
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Grzegorz Plebanek
Title: Generalized Corson compacta and calibers of measures
Abstract: We consider compact spaces which can be embedded into a product of real lines so that the support of every element is of size \(<\kappa\); here \(\kappa\) is a fixed cardinal number. We discuss measure-theoretic properties of such spaces and related properties of Banach spaces of continuous functions.