Some Structural Results Concerning Supercompact Cardinals

Apter, Arthur W.

J. Symbolic Logic, Tome 66 (2001) no. 1, p. 1919-1927 / Harvested from Project Euclid

Résumé

We show how the forcing of [5] can be iterated so as to get a model containing supercompact cardinals in which every measurable cardinal $\delta$ is $\delta^+$ supercompact. We then apply this iteration to prove three additional theorems concerning the structure of the class of supercompact cardinals.

Publié le : 2001-12-14
Classification:

@article{1183746635,
     author = {Apter, Arthur W.},
     title = {Some Structural Results Concerning Supercompact Cardinals},
     journal = {J. Symbolic Logic},
     volume = {66},
     number = {1},
     year = {2001},
     pages = { 1919-1927},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183746635}
}

Apter, Arthur W. Some Structural Results Concerning Supercompact Cardinals. J. Symbolic Logic, Tome 66 (2001) no. 1, pp.  1919-1927. http://gdmltest.u-ga.fr/item/1183746635/