A Hollow Shell: Covering Lemmas without a Core

W. J. Mitchell
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W. J. Mitchell: University of Florida, Department of Mathematics

A chapter in Set Theory, 1998, pp 183-198 from Springer

Abstract: 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

Keywords: Core Model; Measurable Cardinal; Iterable Model; Elementary Substructure; Singular Cardinal (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-8988-8_12

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DOI: 10.1007/978-94-015-8988-8_12

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