Parametrized Cichoń's diagram and small sets
Janusz Pawlikowski, Ireneusz Recław (1995)
Fundamenta Mathematicae
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We parametrize Cichoń’s diagram and show how cardinals from Cichoń’s diagram yield classes of small sets of reals. For instance, we show that there exist subsets N and M of and continuous functions such that • N is and , the collection of all vertical sections of N, is a basis for the ideal of measure zero subsets of ; • M is and is a basis for the ideal of meager subsets of ; •. From this we derive that for a separable metric space X, •if for all Borel (resp. ) sets...