# Recent and upcoming talks by Marcin Michalski

## Marcin Michalski: Luzin’s theorem

Tuesday, April 25, 2017, 17:15 Wrocław University of Technology, 215 D-1 Speaker: Marcin Michalski (Wroclaw University of Science and Technology) Title: Luzin’s theorem Abstract: In 1934 Nicolai Luzin proved that each subset of the real line can be decomposed into two full subsets with respect to ideal of measure or category. continue reading…

## Marcin Michalski: Decomposing the real line into Borel sets closed under addition

Tuesday, December 13, 2016, 17:15 Wrocław University of Technology, 215 D-1 Speaker: Marcin Michalski (Wrocław University of Science and Technology) Title: Decomposing the real line into Borel sets closed under addition Abstract: We will show some results proved by M. continue reading…

## Marcin Michalski: Universal sets for bases of $\sigma$-ideals

Tuesday, November 8, 2016, 17:15 Wrocław University of Technology, 215 D-1 Speaker: Marcin Michalski (Wrocław University of Science and Technology) Title: Universal sets for bases of $\sigma$-ideals Abstract: We shall construct universal sets of possibly low Borel rank for classic $\sigma$-ideals of sets: $\mathcal{N}$-family of measure zero sets, $\mathcal{M}$-family of meager sets, $\mathcal{M}\cap\mathcal{N}$ and $\mathcal{E}$. continue reading…

## Marcin Michalski: On some properties of sigma-ideals

Tuesday, October 18, 2016, 17:15 Wrocław University of Technology, 215 D-1 Speaker: Marcin Michalski (Wrocław University of Science and Technology) Title: On some properties of sigma-ideals Abstract: We shall consider a couple of properties of $\sigma$-ideals and relations between them. continue reading…

## Marcin Michalski: A generalized version of the Rothberger theorem

Tuesday, November 17, 2015, 17:15 Wrocław University of Technology, 215 D-1 Speaker: Marcin Michalski (Wrocław University of Technology) Title: A generalized version of the Rothberger theorem Abstract: We call a set $X$ a generalized Luzin set if $|L\cap M|<|L|$ for every meager set $M$. continue reading…

## Marcin Michalski: Avoiding rational distances

Tuesday, March 10, 2015, 17:15 Wrocław University of Technology, 215 D-1 Speaker: Marcin Michalski (Wrocław University of Technology) Title: Avoiding rational distances Abstract: We shall present results obtained by Ashutosh Kumar in paper “Avoiding rational distances”. continue reading…

## Marcin Michalski: I-Luzin sets

Tuesday, January 27, 2015, 17:15 Wrocław University of Technology, 215 D-1 Speaker: Marcin Michalski (Wrocław University of Technology) Title: I-Luzin sets Abstract: We will present some results obtained with Szymon Żeberski involving I-Luzin sets in Euclidean spaces. continue reading…

## Marcin Michalski: Luzin and Sierpiński sets, some nonmeasurable subsets of the plane

Tuesday, October 21, 2014, 17.05 D1-215, Politechnika Wroclawska Speaker: Marcin Michalski (Wroclaw University of Technology) Title: Luzin and Sierpiński sets, some nonmeasurable subsets of the plane Abstract: Abstract: http://prac.im.pwr.wroc.pl/~przemko/settheory/talks/index.php continue reading…

## Marcin Michalski: Luzin and Sierpiński sets, some nonmeasurable subsets of the plane

Tuesday, October 21, 2014, 17:15 Wrocław University of Technology, 215 D-1 Speaker: Marcin Michalski (Wrocław University of Technology) Title: Luzin and Sierpiński sets, some nonmeasurable subsets of the plane Abstract: We shall introduce some nonmeasurable and completely nonmeasurable subsets of the plane with various additional properties, e.g. continue reading…