Ideal limits of sequences of continuous functions

• Autorzy: Miklós Laczkovich , Ireneusz Recław
• Języki publikacji: EN

Abstrakty

EN

We prove that for every Borel ideal, the ideal limits of sequences of continuous functions on a Polish space are of Baire class one if and only if the ideal does not contain a copy of Fin × Fin. In particular, this is true for $F_{σδ}$ ideals. In the proof we use Borel determinacy for a game introduced by C. Laflamme.

Kategorie tematyczne

• 28A20: Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
• 03E15: Descriptive set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 203
• Numer: 1
• Strony: 39-46

Daty

wydano

2009

Twórcy

autor

Miklós Laczkovich

• Department of Analysis, Eötvös Loránd University, 1117 Budapest, Hungary
• Department of Mathematics, University College London, London, UK

autor

Ireneusz Recław

• Institute of Informatics, University of Gdańsk, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/fm203-1-3