The calculus of partition sequences, changing cofinalities, and a questionof Woodin

Authors
Apter, AW Henle, JM Jackson, SC
Citation
Aw. Apter et al., The calculus of partition sequences, changing cofinalities, and a questionof Woodin, T AM MATH S, 352(3), 2000, pp. 969-1003
Citations number
26
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
352
Issue
3
Year of publication
2000
Pages
969 - 1003
Database
ISI
SICI code
0002-9947(200003)352:3<969:TCOPSC>2.0.ZU;2-4
Abstract
We study in this paper polarized infinite exponent partition relations. We apply our results to constructing a model for the theory "ZF+DC+omega(1) is the only regular, uncountable cardinal less than or equal to omega(omega 1 ) +1." This gives a partial answer to a question of Woodin.