Real Analysis Exchange
- Real Anal. Exchange
- Volume 24, Number 1 (1998), 205-214.
Covering Numbers Associated with Trees Branching into a Countably Generated Set of Possibilities
One can think of the dominating number as the covering number for the ideal on the $\omega$-branching tree generated by finite branching subtrees. This paper is concerned with generalizations of this when "finite" is replaced by some other concept. A key example is obtained by thinking of the branching as being into the integers --- both positive and negative --- and replacing "finite" by "bounded either above or below". This notion was motivated by considerations related to decomposing functions of low Baire class into continuous functions.
Real Anal. Exchange, Volume 24, Number 1 (1998), 205-214.
First available in Project Euclid: 23 March 2011
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Shelah, Saharon. Covering Numbers Associated with Trees Branching into a Countably Generated Set of Possibilities. Real Anal. Exchange 24 (1998), no. 1, 205--214. https://projecteuclid.org/euclid.rae/1300906023