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Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego

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Seminarium „Topologia i teoria mnogości”

Cotygodniowe seminarium badawcze

Lista referatów

  • 2023-05-31, godz. 16:15, 5050

    Piotr Koszmider (IM PAN)

    Ramsey properties of the distance on nonseparable spheres

    Given a nonseparable metric space (M,d) bounded by 2 we consider (A) dichotomies D_r for r in (0,2): either there is uncountable subset N of M such that d(x, y) > r for all distinct x,y  in N or else M is the union of countably many sets each of diameter not bigger than r; (B) the metric...

  • 2023-05-24, godz. 16:15, 5050

    Grzegorz Plebanek (University of Wrocław)

    Countable discrete extensions of compact lines

    We consider a separable compact line K and its extension L consisting of K and a countable number of isolated points. The main object of study is the existence of a bounded extension operator E: C(K) -> C(L). We show that if such an operator exists then there is one which norm is an odd natural n...

  • 2023-05-10, godz. 16:15, Zoom

    Aristotelis Panagiotopoulos (Carnegie Mellon University)

    Menger continua via projective Fraïssé theory

    Projective Fraïssé theory was introduced by T.Irwin and S.Solecki as a natural framework for analyzing the dynamics of homeomorphism groups of compact metrizable spaces in terms of finite combinatorics. In this talk I will provide some basic background in projective Fraïssé t...

  • 2023-04-26, godz. 16:15, 5050

    Jarosław Swaczyna (Lodz University of Technology)

    Continuity of coordinate functionals for ideal Schauder basis

    Given an ideal of subsets of natural numbers I we say that a sequence (x_n) is I-convergent to x if for every ε>0 condition {n \in N:d(x_n,x)>ε}\in I holds. We may use this notion to generalize the idea of Schauder basis, namely we say that a sequence (e_n) is an I-basis if for every x \in X there...

  • 2023-04-19, godz. 16:15, 5050

    Tomasz Weiss (Cardinal Stefan Wyszyński University in Warsaw)

    Countably perfectly meager and countably perfectly null sets

    We study a strengthening of the notion of a universally meager set and its dual counterpart that strengthens the notion of a universally null set. We say that a subset A of a perfect Polish space X is countably perfectly meager (respectively, countably perfectly null) in X, if for every perfec...

  • 2023-03-29, godz. 16:15, 5050

    Daria Michalik (University of Warsaw)

    Blocking properties of the diagonal in Cartesian product

    The abstract of the talk can be found on the webpage of our seminar: ...


  • 2023-03-22, godz. 16:15, Zoom

    Taras Banakh (Ivan Franko National University of Lviv and UJK Kielce)

    An example of a 36-Shelah group

    A group $G$ is called $n$-Shelah if $G=A^n$ for any subset $A\subseteq G$ of cardinality $|A|=|G|$. In 1980 Saharon Shelah constructed his famous CH-example of an uncountable 6640-Shelah group. This group was the first example of a nontopologizable group. On the other hand, by a result of Protasov, ...

  • 2023-03-15, godz. 16:15, 5050

    Wiesław Kubiś (Akademia Nauk Republiki Czeskiej)

    Ultrametric homogeneous structures

    We shall present the theory of homogeneous Polish ultrametric structures. Our starting point is a Fraı̈ssé class of finite structures and the crucial tool is the universal homogeneous epimorphism. The new Fraı̈ssé limit is an inverse limit, nevertheless its universality is with respect to embe...

  • 2023-03-08, godz. 16:15, 5050

    Zdeněk Silber (IM PAN)

    Weak* derived sets

    The weak* derived set of a subset A of a dual Banach space X* is the set of weak* limits of bounded nets in A. It is known that a convex subset of a dual Banach space is weak* closed if and only if it equals its weak* derived set. But this does not mean that the weak* closure of a convex set coincid...

  • 2023-03-01, godz. 16:15, 5050

    Adam Kwela (University of Gdańsk)

    Katětov order and its applications

    This talk is an overview of my recent articles on ideals on countable sets. I will present set-theoretic and topological applications of Katětov order on ideals, focusing on distinguishing certain classes of sequentially compact spaces and comparing certain classes of ultrafilters with the class of...