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Orthogonal partitions. (English) Zbl 0794.03064
Summary: We introduce and study a notion of orthogonal partitions of \(\omega\) which is in a certain sense dual to the notion of almost disjoint subsets of \(\omega\). We consider maximal families of pairwise orthogonal partitions and dual matrices.

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