An aleph(1)-dense ideal on aleph(2)

Authors
Citation
M. Foreman, An aleph(1)-dense ideal on aleph(2), ISR J MATH, 108, 1998, pp. 253-290
Citations number
22
Categorie Soggetti
Mathematics
Journal title
ISRAEL JOURNAL OF MATHEMATICS
ISSN journal
00212172 → ACNP
Volume
108
Year of publication
1998
Pages
253 - 290
Database
ISI
SICI code
0021-2172(1998)108:<253:AAIOA>2.0.ZU;2-#
Abstract
This paper establishes the consistency of a countably complete, uniform, N- 1-dense ideal on N-2. As a corollary, it is consistent that there exists a uniform ultrafilter D on omega(2) such that \omega(1)(omega 2)/D\ = omega(1 ). A general "transfer" result establishes the consistency of countably com plete uniform ideal K on omega(2) such that P(omega(2))/K congruent to P(om ega(1))/{countable sets}.