The Least Measurable Can Be Strongly Compact and Indestructible
Apter, Arthur W. ; Gitik, Moti
J. Symbolic Logic, Tome 63 (1998) no. 1, p. 1404-1412 / Harvested from Project Euclid
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We show the consistency, relative to a supercompact cardinal, of the least measurable cardinal being both strongly compact and fully Laver indestructible. We also show the consistency, relative to a supercompact cardinal, of the least strongly compact cardinal being somewhat supercompact yet not completely supercompact and having both its strong compactness and degree of supercompactness fully Laver indestructible.
Publié le : 1998-12-14
Classification:  
@article{1183745639,
     author = {Apter, Arthur W. and Gitik, Moti},
     title = {The Least Measurable Can Be Strongly Compact and Indestructible},
     journal = {J. Symbolic Logic},
     volume = {63},
     number = {1},
     year = {1998},
     pages = { 1404-1412},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183745639}
}

Apter, Arthur W.; Gitik, Moti. The Least Measurable Can Be Strongly Compact and Indestructible. J. Symbolic Logic, Tome 63 (1998) no. 1, pp.  1404-1412. http://gdmltest.u-ga.fr/item/1183745639/