Abstract
We prove that for any locally countable ᶺ¹₁ partial order ℛ=〈 2ω, ≤P 〉, there exists a nonmeasurable antichain in ℛ. Some applications of the result are also presented.
Citation
Liang Yu. "Measure theory aspects of locally countable orderings." J. Symbolic Logic 71 (3) 958 - 968, September 2006. https://doi.org/10.2178/jsl/1154698584
Information
Published: September 2006
First available in Project Euclid: 4 August 2006
zbMATH: 1109.03038
MathSciNet: MR2251548
Digital Object Identifier: 10.2178/jsl/1154698584
Subjects:
Primary:
03D28
,
03D30
,
03E15
,
03E35
,
68Q30
Rights: Copyright © 2006 Association for Symbolic Logic
