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Cotygodniowe seminarium badawcze
Organizatorzy
- prof. dr hab. Witold Marciszewski
- prof. dr hab. Piotr Zakrzewski
Informacje
środy, 16:15 , sala: 5050Dziedziny badań
Lista referatów
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16 maja 2018 16:15
Julien Melleray (Institut Camille Jordan, Université Lyon 1)
Full groups of minimal homeomorphisms of the Cantor space
The first part of the talk will be an introduction to the theory of minimal homeomorphisms and their full groups (and why these objects are interesting). In the second talk I'll sketch the proof of …
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9 maja 2018 16:15
Rafał Filipów (University of Gdańsk)
Ideal convergence versus matrix summability
Ideal convergence and matrix summability are examples of extensions of the ordinary convergence of sequences of reals to a larger class of sequences (i.e. ordinary convergent sequences remain convergent to the same limits and there …
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25 kwietnia 2018 16:15
Andrzej Szymański (Cardinal Stefan Wyszyński University in Warsaw)
KKM Theorem: From L*-operators to a Renting Problem
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11 kwietnia 2018 16:15
Roman Pol (University of Warsaw)
On a paper by M.V.Ferrer, S.Hernandez and D.Shakhmatov "A countable free closed non-reflexive subgroup of Z^continuum", Proc.AMS 145(2017).
An abelian topological group H is (Pontrjagin) reflexive if the natural homomorphism from H into the group H^^ of characters on the group of characters on H is a homeomorphism of H onto H^^ (as …
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21 marca 2018 16:15
Piotr Szewczak (Cardinal Stefan Wyszyński University in Warsaw)
The Haar measure problem
An old problem asks whether every compact group has a Haar-nonmeasurable subgroup. A series of earlier results reduce the problem to infinite metrizable profinite groups. We provide a positive answer, assuming a weak, potentially provable, …
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14 marca 2018 16:15
Ralf Schindler (Department for Mathematical Logic and Foundational Research, University of Munster)
"Paradoxical" sets with no well-ordering of the reals
By a Hamel basis we mean a basis for the reals, R, construed as a vecor space over the field of rationals. In 1905, G. Hamel constructed such a basis from a well-ordering of R. …
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7 marca 2018 16:15
Witold Marciszewski (University of Warsaw)
On zero-dimensional subspaces of Eberlein compacta
Let us recall that a compact space K is Eberlein compact if it can be embedded into some Banach space X equipped with the weak topology. We will discuss the following problem: Does every nonmetrizable …
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28 lutego 2018 16:15
TOMASZ NATKANIEC (University of Gdańsk)
PERFECTLY EVERYWHERE SURJECTIVE BUT NOT JONES FUNCTIONS
Given a function f : R → R we say that • f is perfectly surjective (f ∈ PES) if f[P] = R for every perfect set P; • f is a Jones function (f …
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24 stycznia 2018 16:15
Taras Banakh (Lviv National University and UJK Kielce)
Null-finite sets in metric groups and their applications
We shall introduce a new family of "small" sets which is tightly connected with two well known $\sigma$-ideals: of Haar-null sets and of Haar-meager sets. We define a subset $A$ of a topological group $X$ …
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17 stycznia 2018 16:15
Szymon Żeberski (Wrocław University of Technology)
Nonmeasurable sets and unions with respect to tree ideals
We consider a notion of nonmeasurablity with respect to Marczewski and Marczewski-like tree ideals $s_0$, $m_0$, $l_0$, and $cl_0$. We show that there exists a subset $A$ of the Baire space $\omega^\omega$ which is $s$-, …
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20 grudnia 2017 16:15
Damian Sobota (Kurt Gödel Research Center for Mathematical Logic)
Convergence of measures and cardinal characteristics of the continuum
Let A be a Boolean algebra. We say that A has the Nikodym property if every pointwise convergent sequence of measures on A is weak* convergent. Similarly, A has the Grothendieck property if every weak* …
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13 grudnia 2017 16:15
Tomasz Cieśla (University of Warsaw)
Homeomorphism relation of locally connected continua is complete
Every Borel action of a Polish group G on a Polish space X gives rise to a relation ~ given by x ~ y if and only if x and y are in the same …
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29 listopada 2017 16:15
Ziemowit Kostana (University of Warsaw)
Non-measurability of the algebraic sums of sets of real numbers
Consider the following problems: 1. If A is a meagre (null) subset of the real line, does there necessarily exist a set B such that the algebraic sum A+B doesn't have the Baire property (is …
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22 listopada 2017 16:15
Maciej Malicki (Warsaw School of Economics)
Generic representations of countable groups - part 2
The fact that a Polish group G has a comeager conjugacy class can be expressed in the language of representations: it is equivalent to the existence of a generic representation of the group of integers …
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15 listopada 2017 16:15
Maciej Malicki (Warsaw School of Economics)
Generic representations of countable groups
The fact that a Polish group G has a comeager conjugacy class can be expressed in the language of representations: it is equivalent to the existence of a generic representation of the group of integers …
