# Aleksander Cieślak: Filters and sets of Vitali’s type

Thursday, January 1, 1970, 17:15
Wrocław University of Technology, 215 D-1

Speaker: Aleksander Cieślak (Wrocław University of Technology)

Title: Filters and sets of Vitali’s type

Abstract:

In construction of classical Vitali set on $\{0,1\}^{\omega}$ we use filter of cofinite sets to define rational numbers. We replece cofinite filter by any nonprincipal filter on $\omega$ and ask some questions about measurability and cardinality of selectors and equevalence classes.