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 \(2^{\aleph_0}\).
Citation
Saharon Shelah. "Martin’s axiom and maximal orthogonal families.." Real Anal. Exchange 28 (2) 477 - 480, 2002/2003.
Information
Published: 2002/2003
First available in Project Euclid: 20 July 2007
zbMATH: 1044.03040
MathSciNet: MR2010330
Subjects:
Primary:
03E35
,
03E65
Keywords:
Martin's Axiom
,
maximal almost disjoint family
,
orthogonal family
Rights: Copyright © 2002 Michigan State University Press
