Citation
Kc. Liu et S. Shelah, COFINALITIES OF ELEMENTARY SUBSTRUCTURES OF STRUCTURES ON ALEPH(W), Israel Journal of Mathematics, 99, 1997, pp. 189-205
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00212172
Volume
99
Year of publication
1997
Pages
189 - 205
Database
ISI
SICI code
0021-2172(1997)99:<189:COESOS>2.0.ZU;2-4
Abstract
We give some sufficient conditions for {a subset of or equal to aleph(
omega):cf(sup(a boolean AND aleph(n))) = f(n) for n < omega} to be sta
tionary. Thus we get consistency e.g. of cases where f has greater tha
n or equal to three values attained infinitely often. We use pcf, part
ition theorems on trees and games.