Measurability and Degrees of Strong Compactness

Apter, Arthur W.

J. Symbolic Logic, Tome 46 (1981) no. 1, p. 249-254 / Harvested from Project Euclid

Résumé

We prove, relative to suitable hypotheses, that it is consistent for there to be unboundedly many measurable cardinals each of which possesses a large degree of strong compactness, and that it is consistent to assume that the least measurable is partially strongly compact and that the second measurable is strongly compact. These results partially answer questions of Magidor on the relationship of strong compactness to measurability.

Publié le : 1981-06-14
Classification:

@article{1183740773,
     author = {Apter, Arthur W.},
     title = {Measurability and Degrees of Strong Compactness},
     journal = {J. Symbolic Logic},
     volume = {46},
     number = {1},
     year = {1981},
     pages = { 249-254},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183740773}
}

Apter, Arthur W. Measurability and Degrees of Strong Compactness. J. Symbolic Logic, Tome 46 (1981) no. 1, pp.  249-254. http://gdmltest.u-ga.fr/item/1183740773/