Authors
Citation
T. Eisworth, Selective ultrafilters and omega -> (omega)(omega), P AM MATH S, 127(10), 1999, pp. 3067-3071
Citations number
7
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939
→ ACNP
Volume
127
Issue
10
Year of publication
1999
Pages
3067 - 3071
Database
ISI
SICI code
0002-9939(199910)127:10<3067:SUAO-(>2.0.ZU;2-Y
Abstract
Mathias (Happy families, Ann. Math. Logic. 12 (1977), 59-111) proved that,
assuming the existence of a Mahlo cardinal, it is consistent that CH holds
and every set of reals in L(R) is U-Ramsey with respect to every selective
ultrafilter U. In this paper, we show that the large cardinal assumption ca
nnot be weakened.