Real Analysis Exchange
- Real Anal. Exchange
- Volume 28, Number 2 (2002), 477-480.
Martin’s axiom and maximal orthogonal families.
Abstract
It is shown that Martin's Axiom for \(\sigma\)-centered partial orders implies that every maximal orthogonal family in \(\mathbb{R}^\mathbb{N}\) is of size \(2^{\aleph_0}\).
Article information
Source
Real Anal. Exchange, Volume 28, Number 2 (2002), 477-480.
Dates
First available in Project Euclid: 20 July 2007
Permanent link to this document
https://projecteuclid.org/euclid.rae/1184963810
Mathematical Reviews number (MathSciNet)
MR2010330
Zentralblatt MATH identifier
1044.03040
Subjects
Primary: 03E35: Consistency and independence results 03E65: Other hypotheses and axioms
Keywords
orthogonal family Martin's Axiom maximal almost disjoint family
Citation
Shelah, Saharon. Martin’s axiom and maximal orthogonal families. Real Anal. Exchange 28 (2002), no. 2, 477--480. https://projecteuclid.org/euclid.rae/1184963810
