Abstract
In this paper we prove that if there is a Borel-cover $\gamma$-set of cardinality the continuum, then there is one which is not hereditary.
Citation
Arnold W. Miller. "A nonhereditary Borel-cover -set.." Real Anal. Exchange 29 (2) 601 - 606, 2003-2004.
Information
Published: 2003-2004
First available in Project Euclid: 7 June 2006
zbMATH: 1069.03047
MathSciNet: MR2083799
Subjects:
Primary:
03E17
,
03E50
Keywords:
$\gamma$-cover
,
$\omega$-cover
,
Borel covers
,
Continuum hypothesis
,
covering properties
Rights: Copyright © 2003 Michigan State University Press