Universal Indestructibility

Details Universal Indestructibility Universal Indestructibility

1998-08-03

arxiv.org/abs/math/9808004v1

Mathematics

Logic

Plain tex, 13 pages. Submitted to the Kobe Journal of Mathematics. See also http://www.library.csi.cuny.edu/users/hamkins/pape

Scientific paper

From a suitable large cardinal hypothesis, we provide a model with a supercompact cardinal in which universal indestructibility holds: every supercompact and partially supercompact cardinal kappa is fully indestructible by kappa-directed closed forcing. Such a state of affairs is impossible with two supercompact cardinals or even with a cardinal which is supercompact beyond a measurable cardinal.

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