Majcher, B. Orthogonal partitions. (English) Zbl 0794.03064 Acta Univ. Carol., Math. Phys. 31, No. 2, 59-63 (1990). 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. Cited in 1 Document 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 Keywords:MA; orthogonal partitions of \(\omega\); maximal families; dual matrices PDFBibTeX XMLCite \textit{B. Majcher}, Acta Univ. Carol., Math. Phys. 31, No. 2, 59--63 (1990; Zbl 0794.03064) Full Text: EuDML