Supercompactness within the projective hierarchy

Publisher： Cambridge University Press

E-ISSN： 1943-5886|66|2|658-672

ISSN： 0022-4812

Source： The Journal of Symbolic Logic, Vol.66, Iss.2, 2001-06, pp. : 658-672

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Abstract

We show that all the projective ordinals are supercompact through their supremum and a ways beyond.

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