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Hechler reals

Published online by Cambridge University Press:  12 March 2014

Grzegorz Łabędzki  and
Miroslav Repický
Grzegorz Łabędzki
Affiliation:
Institute of Mathematics, Wrocław University, 50-156 Wrocław, Poland, E-mail: labedz@math.uni.wroc.pl
Miroslav Repický
Affiliation:
Mathematical Institute of the Slovak Academy of Sciences, 041 54 Košice, Slovakia, E-mail: repicky@kosice.upjs.sk
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Abstract

We define a σ-ideal on the set of functions ωω with the property that a real x ∈ ωω is a Hechler real over V if and only if x omits all Borel sets in . In fact we define a topology on ωω related to Hechler forcing such that is the family of first category sets in . We study cardinal invariants of the ideal .

Keywords

Hechler realdominating topologymeager setscardinal invariants
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 60 , Issue 2 , June 1995 , pp. 444 - 458
Copyright
Copyright © Association for Symbolic Logic 1995

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References

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