Small forcing creates neither strong nor Woodin cardinals

Authors
Hamkins, JD Woodin, WH
Citation
Jd. Hamkins et Wh. Woodin, Small forcing creates neither strong nor Woodin cardinals, P AM MATH S, 128(10), 2000, pp. 3025-3029
Citations number
1
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
10
Year of publication
2000
Pages
3025 - 3029
Database
ISI
SICI code
0002-9939(2000)128:10<3025:SFCNSN>2.0.ZU;2-0
Abstract
After small forcing, almost every strongness embedding is the lift of a str ongness embedding in the ground model. Consequently, small forcing creates neither strong nor Woodin cardinals.