Chains of End Elementary Extensions of Models of Set Theory

Villaveces, Andres

J. Symbolic Logic, Tome 63 (1998) no. 1, p. 1116-1136 / Harvested from Project Euclid

Résumé

Large cardinals arising from the existence of arbitrarily long end elementary extension chains over models of set theory are studied here. In particular, we show that the large cardinals obtained in this fashion (`unfoldable cardinals') lie in the boundary of the propositions consistent with `V = L' and the existence of 0$^\sharp$. We also provide an `embedding characterisation' of the unfoldable cardinals and study their preservation and destruction by various forcing constructions.

Publié le : 1998-09-14
Classification:

@article{1183745584,
     author = {Villaveces, Andres},
     title = {Chains of End Elementary Extensions of Models of Set Theory},
     journal = {J. Symbolic Logic},
     volume = {63},
     number = {1},
     year = {1998},
     pages = { 1116-1136},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183745584}
}

Villaveces, Andres. Chains of End Elementary Extensions of Models of Set Theory. J. Symbolic Logic, Tome 63 (1998) no. 1, pp.  1116-1136. http://gdmltest.u-ga.fr/item/1183745584/