Organizatorzy

prof. dr hab. Witold Marciszewski
prof. dr hab. Piotr Zakrzewski

Informacje

środy, 16:15 , sala: 5050

Dziedziny badań

Topologia i teoria mnogości

Lista referatów

13 marca 2019 16:15
Taras Banakh (Ivan Franko National University of Lviv and UJK Kielce)
Universally meager sets and the Baire category property of some function spaces
We shall discuss the problem of inner characterization of topological spaces $X$ for which the space $B_1(X)$ of real-valued Baire class one functions is Baire or Choquet. We prove that for any separable metrizable space …
6 marca 2019 16:15
Piotr Szewczak (Cardinal Wyszyński University in Warsaw)
Products of gamma-sets
Let X be a set of reals and Cp(X) be the set of all continuous real-valued functions on X with the pointwise convergence topology. By the result of Gerlits and Nagy the space Cp(X) has …
27 lutego 2019 16:15
Maciej Malicki (Warsaw School of Economics)
Complexity of the isomorphism relation for metric structures
For a given sentence s in the infinitary logic, one can consider the Borel space M of all countable models satisfying s, and the isomorphism equivalence relation E on M. Hjorth and Kechris found a …
9 stycznia 2019 16:15
Mikołaj Krupski (University of Warsaw)
The functional tightness of infinite products
The functional tightness $t_0(X)$ of a space $X$ is a cardinal invariant related to both the tightness $t(X)$ and the density character $d(X)$ of $X$. While the tightness $t(X)$ measures the minimal cardinality of sets …
19 grudnia 2018 16:15
Mikołaj Krupski (University of Warsaw)
Games, hereditarily Baire hyperspaces and Mengerness at infinity
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 …
12 grudnia 2018 16:15
Andrzej Starosolski (Silesian University of Technology)
The Rudin–Keisler ordering of P-points under b = c (a continuation)
M. E. Rudin (1971) proved, under CH, that for each P-point there exists a P-point strictly RK-greater. This result was proved under p = c by A. Blass (1973), who also showed that each RK-increasing …
5 grudnia 2018 16:15
Andrzej Starosolski (Silesian University of Technology)
The Rudin–Keisler ordering of P-points under b = c
M. E. Rudin (1971) proved, under CH, that for each P-point there exists a P-point strictly RK-greater. This result was proved under p = c by A. Blass (1973), who also showed that each RK-increasing …
28 listopada 2018 16:15
Wiesław Kubiś (Cardinal Stefan Wyszyński University in Warsaw and Institute of Mathematics of the Czech Academy of Sciences)
Uniform homogeneity
A mathematical structure is called homogeneous if every isomorphism between its ``small" substructures extends to an automorphism. If additionally, this extension can be made algebraic, namely, preserving compositions, we then say that the structure is …
21 listopada 2018 16:15
Grzegorz Plebanek (University of Wrocław)
On Cartesian products of compact lines
This is joint work with Gonzalo Martinez Cervantes. By a compact line we mean a compact space which topology is defined by a linear order. Answering a problem posed by Mardesic, we show that n-fold …
14 listopada 2018 16:15
Arturo Antonio Martínez Celis Rodríguez (IMPAN)
Ultrafilters related to the Michael space problem
A Lindelöf Topological space is Michael if it has non-Lindelöf product with the space of the irrational numbers. These kind of spaces were introduced by Ernest Michael in 1963 and it is still unknown if …
7 listopada 2018 16:15
Ali Enayat (University of Gothenburg, Sweden)
Models of arithmetic meet set theory and topology
The first part of the talk is expository and provides a general introduction to nonstandard models of arithmetic, and the various ways they interact with set theory and topology. The second part focuses on recent …
24 października 2018 16:15
Paweł Krupski (Wrocław University of Science and Technology)
Complexity of homeomorphism relations on some classes of compacta
This is a joint work with Benjamin Vejnar (https://arxiv.org/pdf/1808.08760.pdf). We prove that the homeomorphism relation between compact spaces can be continuously reduced to the homeomorphism equivalence relation between absolute retracts which strengthens and simplifies recent …
17 października 2018 16:15
Roman Pol (University of Warsaw)
On a problem of Talagrand concerning separately continuous functions
This is a joint work with Volodymyr Mykhaylyuk (a preliminary version of our paper is on arXiv: https://arxiv.org/pdf/1809.05799.pdf) M.Talagrand [Math.Ann.270(1985),Probleme 3] stated the following problem (recalled recently in Guirao, V.Montesinos, V.Zizler, Open problems in …
10 października 2018 16:15
Viktoriia Brydun (Lviv National University)
Fuzzy metrization of the spaces of idempotent measures
The talk will be dedicated to idempotent mathematics (better known as tropical mathematics) and category theory. The idempotent measures (Maslov measures) are counterparts of the probability measures in the idempotent mathematics. The main result …
13 czerwca 2018 16:15
Kazimierz Alster (UKSW)
Gra Telgarskiego a multiplikatywność parazwartości
Ogólnym problemem dotyczącym multiplikatywności parazwartości jest pytanie o charakteryzację klasy P przestrzeni parazwartych, których iloczyn kartezjański z dowolną przestrzenią parazwartą jest parazwarty a także związane z nim problemy: Czy klasa P jest zamknięta ze względu …