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Dualization of van Douwen diagram. (English) Zbl 0794.03065

This paper is a continuation of the one reviewed above, where the second author presents some results concerning the dualization of certain combinatorial properties of \(\omega\) obtained by considering partitions of \(\omega\) instead of its subsets. In the meantime the area of the investigations has enlarged. In this work we present the dualized version of the van Douwen diagram, i.e. the set of the relations between six cardinals related to the simple properties of almost disjointness and almost containedness.

MSC:

03E05 Other combinatorial set theory
03E35 Consistency and independence results
03E50 Continuum hypothesis and Martin’s axiom
05A17 Combinatorial aspects of partitions of integers
05A18 Partitions of sets
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