Abstract
We prove that two natural definitions of residuality of families of $\mathcal{F}_\sigma$ sets are equivalent. We make use of the Banach-Mazur game in the proof.
Citation
Shingo Saito. "Residuality of families of Fσ sets.." Real Anal. Exchange 31 (2) 477 - 487, 2005/2006.
Information
Published: 2005/2006
First available in Project Euclid: 10 July 2007
zbMATH: 1098.54028
MathSciNet: MR2265789
Subjects:
Primary:
54B20
Secondary:
54E52
Keywords:
$\mathcal{F}_{\sigma}$ set
,
Banach-Mazur game
,
Residuality
Rights: Copyright © 2005 Michigan State University Press
