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A Hollow Shell: Covering Lemmas without a Core

In: Set Theory

Author

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  • W. J. Mitchell

    (University of Florida, Department of Mathematics)

Abstract

This paper is an attempt to apply the proof of the covering lemma in situations where the usual statement of the covering lemma is meaningless because no core model exists. The main result is the following theorem: Theorem. Suppose L[ε] is a minimal class model for a Woodin cardinal and the covering lemma over L[ε]fails at a cardinal δ such that that there is no iterable L[ε]-ultrafilter on any cardinal η

Suggested Citation

  • W. J. Mitchell, 1998. "A Hollow Shell: Covering Lemmas without a Core," Springer Books, in: Carlos Augusto Di Prisco & Jean A. Larson & Joan Bagaria & A. R. D. Mathias (ed.), Set Theory, pages 183-198, Springer.
    • Handle: RePEc:spr:sprchp:978-94-015-8988-8_12
    DOI: 10.1007/978-94-015-8988-8_12
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