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Combinatorial properties of the ideal ℬ2

Published online by Cambridge University Press:  12 March 2014

J. Cichoń
Affiliation:
Institute of Mathematics, University of Wroclaw, 50-484 Wroclaw, Poland
A. Rosłanowski
Affiliation:
Institute of Mathematics, University of Wroclaw, 50-484 Wroclaw, Poland
J. Steprans
Affiliation:
Department of Mathematics, York University, Ontario M3J IP3, Canada
B. Wȩglorz
Affiliation:
Institute of Mathematics, University of Wroclaw, 50-484 Wroclaw, Poland

Abstract

By ℬ2 we denote the σ-ideal of all subsets A of the Cantor set {0, 1}ω such that for every infinite subset T of ω the restriction A∣{0, 1}T is a proper subset of {0, 1}T. In this paper we investigate set theoretical properties of this and similar ideals.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1993

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References

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