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The Logic of Public Announcements and Common Knowledge and Private Suspicions
- A. Baltag, L. Moss, Slawomir Solecki
- Computer Science, PhilosophyTARK
- 22 July 1998
TLDR
BOREL CHROMATIC NUMBERS
- A. Kechris, Slawomir Solecki, S. Todorcevic
- Mathematics
- 15 January 1999
We study in this paper graph coloring problems in the context of descriptive set theory. We consider graphs G=(X, R), where the vertex set X is a standard Borel space (i.e., a complete separable…
Analytic Ideals and Their Applications
- Slawomir Solecki
- MathematicsAnn. Pure Appl. Log.
- 31 August 1999
Covering analytic sets by families of closed set
- Slawomir Solecki
- MathematicsJournal of Symbolic Logic
- 1 September 1994
TLDR
Gδ ideals of compact sets
- Slawomir Solecki
- Mathematics
- 13 May 2011
We investigate the structure of Gδ ideals of compact sets. We define a class of Gδ ideals of compact sets that, on the one hand, avoids certain phenomena present among general Gδ ideals of compact…
Haar null and non-dominating sets
- Slawomir Solecki
- Mathematics
- 2001
We study the σ-ideal of Haar null sets on Polish groups. It is shown that on a non-locally compact Polish group with an invariant metric this σ-ideal is closely related, in a precise sense, to the…
Decomposing Borel sets and functions and the structure of Baire class 1 functions
- Slawomir Solecki
- Mathematics
- 1 July 1998
All spaces considered are metric separable and are denoted usually by the letters X, Y, or Z. w stands for the set of all natural numbers. If a metric separable space is additionally complete, we…
Equivalence relations induced by actions of Polish groups
- Slawomir Solecki
- Mathematics
- 1 December 1995
We give an algebraic characterization of those sequences (HnI) of countable abelian groups for which the equivalence relations induced by Borel (or, equivalently, continuous) actions of Ho x Hl x H2…
On Haar null sets
- Slawomir Solecki
- MathematicsFundamenta Mathematicae
- 1996
We prove that in Polish, abelian, non-locally-compact groups the family of Haar null sets of Christensen does not fulfil the countable chain condition, that is, there exists an uncountable family of…
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