Weekly research seminar
Organizers
 prof. dr hab. Witold Marciszewski
 prof. dr hab. Piotr Zakrzewski
Information
Wednesdays, 4:15 p.m. , room: 5050Research fields
List of talks

June 8, 2022, 4:15 p.m.
Wiesław Kubiś (Institute of Mathematics of the Czech Academy of Sciences and Cardinal Stefan Wyszyński University in Warsaw)
Homogeneity of linear spaces
Linear spaces are basic incidence structures consisting of points and lines, These are in fact first order structures naturally encoded by a single ternary relation. We shall discuss homogeneity questions, namely, when every small partial …

June 1, 2022, 4:15 p.m.
Mikołaj Krupski (University of Warsaw)
Preservation of some covering type properties by linear homeomorphisms of function spaces: Part 2
In the second part of my talk I will show some proof techniques. The talk should be accessible regardless of listening to part 1. An old question of Arhangel'skii asks if (a) the Lindelof property …

May 25, 2022, 4:15 p.m.
Mikołaj Krupski (University of Warsaw)
Preservation of some covering type properties by linear homeomorphisms of function spaces
An old question of Arhangel'skii asks if (a) the Lindelof property (b) the Menger property of a Tychonoff space X is preserved by homeomorphisms of the space C_p(X) of continuous functions on X equipped with …

May 18, 2022, 4:15 p.m.
Damian Głodkowski (University of Warsaw)
K) reading the dimension of (A Banach space C)
We show that if Jensen's diamond principle holds, then for every natural number n there is a compact space K, such that whenever L is compact space and the Banach spaces of continuous functions C(K) …

May 11, 2022, 4:15 p.m.
Tomasz Cieśla (Lancaster University)
On random compact sets, equidecomposition and domains of expanison in R^3
We describe a certain model of random compact sets. We use it to construct a pair of compact sets A and B in R^3 of the same Lebesgue measure such that A can be covered …

April 27, 2022, 4:15 p.m.
Ziemowit Kostana (BarIlan University)
Playing games with diamonds
Parametrized diamonds are combinatorial principles that imply many consequences of the original Jensen's Diamond, yet are consistent with the CH failing. Informally speaking, they are in similar relation to Jensen's Diamond, as cardinal invariants of …

April 6, 2022, 4:15 p.m.
Antonio Aviles Lopez (Universidad de Murcia)
Topological properties in tensor products of Banach spaces
We will expose a recent work with G. Martinez Cervantes, J. Rodriguez and A. Rueda Zoca where we study several topological properties (like weakly compactly generated, weakly Lindelöf determined, property (C) of Corson...) on tensor …

March 30, 2022, 4:15 p.m.
Robert Rałowski (University of Wrocław)
Mycielski among trees
The twodimensional version of Mycielski theorem says that for every comeager or conull subset G of the real plane there exists a perfect subset of the real line such that the square of this perfect …

March 23, 2022, 4:15 p.m.
Piotr Szewczak (Cardinal Stefan Wyszyński University in Warsaw)
Strongly sequentially separable function spaces
A space is Frechet–Urysohn if each point in the closure of a set is a limit of a sequence from the set. A separable space is strongly sequentially separable if, for each countable dense set, …

March 16, 2022, 4:15 p.m.
Piotr Koszmider (IM PAN)
Almost disjoint families and the geometry of spheres
We present an example of a nonseparable Banach space where every uncountable subset of the unit sphere contains two vectors which are distant by less than one. This solves in the negative the central problem …

Jan. 26, 2022, 4:15 p.m.
Taras Banakh (Ivan Franko National University of Lviv and UJK Kielce)
Automatic continuity of measurable homomorphisms on topological groups
We shall discuss three recent results on automatic continuity of homomorphisms: 1) Every Haarmeasurable homomorphism from a locally compact group to an arbitrary topological group is continuous. 2) Every homomorphism with the Baire property from …

Jan. 19, 2022, 4:15 p.m.
Wiesław Kubiś (Cardinal Stefan Wyszyński University in Warsaw and Institute of Mathematics of the Czech Academy of Sciences)
Abstract evolution systems, amalgamation and homogeneity
An evolution system is just a category with a distinguished class of arrows, called transitions. This concept, in particular, generalizes abstract rewriting system. It turns out that evolution systems with amalgamation provide a good framework …

Jan. 12, 2022, 4:15 p.m.
Maciej Malicki (IMPAN)
Large conjugacy classes and weak amalgamation
Ivanov, and later Kechris and Rosendal, characterized the existence of dense or comeager (diagonal) conjugacy classes in automorphism groups of certain classes of Fraïssé limits. I will show how these results can be extended to …

Dec. 15, 2021, 4:15 p.m.
Sławomir Solecki (Cornell University)
Closed groups generated by generic measure preserving transformations
The behavior of a measure preserving transformation, even a generic one, is highly nonuniform. In contrast to this observation, a different picture of a very uniform behavior of the closed group generated by a generic …

Dec. 8, 2021, 4:15 p.m.
Paul Szeptycki (York University)
On a topological Ramsey theorem
This is joint work with Wiesław Kubiś. We introduce natural strengthenings of sequential compactness called the $r$Ramsey property for each natural number $r\geq 1$. We prove that metrizable compact spaces are $r$Ramsey for all $r$ …