December 2014
Grzegorz Plebanek: About a particular measure on the square
13/12/14 03:14
Tuesday, December 16, 2014 17:15
Room: D1-215
Speaker: Grzegorz Plebanek
Title: About a particular measure on the square
Abstract. Assuming the existence of Sierpiński set we construct a measure on some \(\sigma\)-field of subsets of the square which is perfect but not compact. This construction in 2001 answered Fremlin's question. We will describe open problems connected to this field.
Room: D1-215
Speaker: Grzegorz Plebanek
Title: About a particular measure on the square
Abstract. Assuming the existence of Sierpiński set we construct a measure on some \(\sigma\)-field of subsets of the square which is perfect but not compact. This construction in 2001 answered Fremlin's question. We will describe open problems connected to this field.
Robert Rałowski: On generalized Luzin sets
05/12/14 18:34
Tuesday, December 9, 2014 17:15
Room: D1-215
Speaker: Robert Rałowski
Title: On generalized Luzin sets
Abstract. We will show results obtained together with Sz. Żeberski concerning properties of \((I,J)\)-Luzin sets (for \(I, J\) \(\sigma\)-ideals on Polish space). Under some settheoretical assumptions we will construct \(\mathfrak{c}\) many generalized Luzin sets which are not Borel equivalent. We will also examine some forcing notions which do not kill generalized Luzin sets.
Room: D1-215
Speaker: Robert Rałowski
Title: On generalized Luzin sets
Abstract. We will show results obtained together with Sz. Żeberski concerning properties of \((I,J)\)-Luzin sets (for \(I, J\) \(\sigma\)-ideals on Polish space). Under some settheoretical assumptions we will construct \(\mathfrak{c}\) many generalized Luzin sets which are not Borel equivalent. We will also examine some forcing notions which do not kill generalized Luzin sets.
Piotr Drygier: Compactifications of \(\omega\) with strictly positive measure
01/12/14 01:49
Tuesday, December 2, 2014 17:15
Room: D1-215
Speaker: Piotr Drygier
Title: Compactifications of \(\omega\) with strictly positive measure
Abstract. Under certain axioms related to cardinal invariants we will show the construction of compactification of natural numbers, which reminder is a non-separable space having a strictly positive measure. In addition, we will discuss consequences of given result to complementarity of \(c_0\) in the space of continuous functions.
Room: D1-215
Speaker: Piotr Drygier
Title: Compactifications of \(\omega\) with strictly positive measure
Abstract. Under certain axioms related to cardinal invariants we will show the construction of compactification of natural numbers, which reminder is a non-separable space having a strictly positive measure. In addition, we will discuss consequences of given result to complementarity of \(c_0\) in the space of continuous functions.