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Acta Mathematica Hungarica
Author:
Jan Kraszewski
Abstract
We construct a translation invariant σ-ideal T(κ) (where κ is an infinite cardinal number) such that covt (T(κ)) = 2κ while cov (T(κ)) = cof (T(κ)) = ω1. The constructions can be carried out in R as well.
Acta Mathematica Hungarica
Authors:
Jan Kraszewski
and
Marcin Kysiak
Summary
We construct a σ-ideal of subsets of the Cantor space which is productive but does not have the Weak Fubini Property. In the construction we use a combinatorial lemma which is of its own interest.