Israel Journal of Mathematics

, Volume 29, Issue 4, pp 385–388

Making the supercompactness of κ indestructible under κ-directed closed forcing

  • Richard Laver

DOI: 10.1007/BF02761175

Cite this article as:
Laver, R. Israel J. Math. (1978) 29: 385. doi:10.1007/BF02761175


A model is found in which there is a supercompact cardinal κ which remains supercompact in any κ-directed closed forcing extension.

Copyright information

© Hebrew University 1978

Authors and Affiliations

  • Richard Laver
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoBoulderUSA

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