Gap forcing: Generalizing the Lévy-Solovay theorem

Bulletin of Symbolic Logic

Volumn 5, Issue 2, 1999, Pages 264-272

  Hamkins, Joel David ^a  

^a CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033469080     PISSN: 10798986     EISSN: None     Source Type: Journal    
DOI: 10.2307/421092     Document Type: Article

References (10)

1. JOEL DAVID HAMKINS, Gap forcing, submitted to the Journal of Mathematical Logic, currently available on the author's web page http://www.math.csi.cuny.edu/~hamkins.
2. _, Canonical seeds and Prikry trees, this JOURNAL, vol. 62 (1997), no. 2, pp. 373-396.
3. _, Destruction or preservation as you like it, Annals of Pure and Applied Logic, vol. 91 (1998), pp. 191-229.
4. _, Small forcing makes any cardinal superdestructible, this JOURNAL, vol. 63 (1998), no. 1, pp. 51-58.
5. JOEL DAVID HAMKINS and SAHARON SHELAH, Superdestructibility: a dual to the Laver preparation, this JOURNAL, vol. 63 (1998), no. 2, pp. 549-554.
6. JOEL DAVID HAMKINS and W. HUGH WOODIN, Small forcing creates neither strong nor Woodin cardinals, to appear in the Proceedings of the American Mathematical Society.
7. RICHARD LAVER, Making the supercompactness of κ indestructible under κ-directed closed forcing, Israel Journal of Mathematics, vol. 29 (1978), pp. 385-388.
8. AZRIEL LEVY and ROBERT M. SOLOVAY, Measurable cardinals and the continuum hypothesis, Israel Journal of Mathematics, vol. 5 (1967), pp. 234-248.
9. DANA S. SCOTT, Measurable cardinals and constructible sets, Bulletin of the Polish Academy of Sciences, Mathematics, vol. 9 (1961), pp. 521-524.
10. JACK SILVER, The consistency of the generalized continuum hypothesis with the existence of a measurable cardinal, Axiomatic set theory (D. Scott, editor), vol. I, Proceedings of Symposia in Pure Mathematics, no. 13, American Mathematical Society, 1971, pp. 383-390.