Filter games on ω and the dual ideal

• Autorzy: Claude Laflamme , Christopher C. Leary
• Języki publikacji: EN

Abstrakty

EN

We continue the efforts to characterize winning strategies in various infinite games involving filters on the natural numbers in terms of combinatorial or structural properties of the given filter. Previous results in the literature included those games where player II responded with natural numbers, or finite subsets of natural numbers. In this paper we concentrate on games where player II responds with members of the dual ideal. We also give a summary of known results on filter games.

Kategorie tematyczne

• 03E05: Other combinatorial set theory
• 03E15: Descriptive set theory
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 173
• Numer: 2
• Strony: 159-173

Daty

wydano

2002

Twórcy

autor

Claude Laflamme

• Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada T2N 1N4

autor

Christopher C. Leary

• Department of Mathematics, SUNY Geneseo, Geneseo, NY 14454, U.S.A.

Identyfikatory

DOI

10.4064/fm173-2-4