Identity Crises and Strong Compactness
Apter, Arthur W. ; Cummings, James
J. Symbolic Logic, Tome 65 (2000) no. 1, p. 1895-1910 / Harvested from Project Euclid
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Combining techniques of the first author and Shelah with ideas of Magidor, we show how to get a model in which, for fixed but arbitrary finite n, the first n strongly compact cardinals $\kappa_1,..., \kappa_n$ are so that $\kappa_i$ for i = 1,..., n is both the i$^{th}$ measurable cardinal and $\kappa^+_i$ supercompact. This generalizes an unpublished theorem of Magidor and answers a question of Apter and Shelah.
Publié le : 2000-12-14
Classification:  Strongly Compact Cardinal,  Supercompact Cardinal,  Measurable Cardinal,  Identity Crisis,  Reverse Easton Iteration,  03E35,  03E55 
@article{1183746273,
     author = {Apter, Arthur W. and Cummings, James},
     title = {Identity Crises and Strong Compactness},
     journal = {J. Symbolic Logic},
     volume = {65},
     number = {1},
     year = {2000},
     pages = { 1895-1910},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183746273}
}

Apter, Arthur W.; Cummings, James. Identity Crises and Strong Compactness. J. Symbolic Logic, Tome 65 (2000) no. 1, pp.  1895-1910. http://gdmltest.u-ga.fr/item/1183746273/