Small forcing makes any cardinal superdestructible

Journal of Symbolic Logic

Volumn 63, Issue 1, 1998, Pages 51-58

  Hamkins, Joel David ^a  

^a CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032364840     PISSN: 00224812     EISSN: None     Source Type: Journal    
DOI: 10.2307/2586586     Document Type: Article

References (6)

1. ARTHUR APTER and SARAHON SHELAH, Menus' result is best possible, to appear in Transactions of the American Mathematical Society.
2. JULIUS B. BARBENEL, Making the hugeness of κ resurrectable after κ-directed closed forcing, Fundamenta Mathematicae. vol. 137 (1991), pp. 9-24.
3. JOEL DAVID HAMKINS, Fragile measurability, this JOURNAL, vol. 59 (1994), pp. 262-282.
4. THOMAS JECH, Set theory, Academic Press, London, 1978.
5. RICHARD LAVER, Making the supercompactness of κ indestructible under κ-directed closed forcing, Israel Journal of Mathematics, vol. 29 (1978), pp. 385-388.
6. W. HUGH WOODIN, Forcing to a model of a supercompact κ whose weak compactness is killed by Add (κ, 1), unpublished theorem.