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Consistency strength of the axiom of full reflection at large cardinals

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Abstract

We prove that the Axiom of Full Reflection at a measurable cardinal is equiconsistent with the existence of a measurable cardinal. We generalize the result also to larger cardinals such as strong or supercompact cardinals.

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References

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Authors and Affiliations

  1. School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat-Aviv, 69978, Tel-Aviv, Israel

    Moti Gitik

  2. Department of Mathematics, University of California, 90230-1555, Los Angeles, CA, USA

    Jiri Witzany

Authors
  1. Moti Gitik
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  2. Jiri Witzany
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Correspondence to Moti Gitik.

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Gitik, M., Witzany, J. Consistency strength of the axiom of full reflection at large cardinals. Israel J. Math. 93, 113–124 (1996). https://doi.org/10.1007/BF02761096

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  • DOI: https://doi.org/10.1007/BF02761096

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