Martin's axiom and maximal orthogonal families.

DOI10.14321/REALANALEXCH.28.2.0477zbMATH Open1044.03040arXivmath/0211438OpenAlexW1581462359MaRDI QIDQ595891

Publication date: 6 August 2004

Published in: Real Analysis Exchange (Search for Journal in Brave)

Abstract: It is shown that Martin's Axiom for sigma-centred partial orders implies that every maximal orthogonal family in R^N is of size 2^{aleph_0}

Full work available at URL: https://arxiv.org/abs/math/0211438

zbMATH Keywords

maximal almost disjoint family

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Other set-theoretic hypotheses and axioms (03E65)

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