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Strong Covering Lemma and the G.C.H.

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Part of the Lecture Notes in Mathematics book series (LNM,volume 940)

Abstract

We prove that e.g. contradicting the common assumption that for singular strong limit λ, 2λ have a bound only when X has uncountable cofinality. We prove a strengthening of the covering lemma, not using the fine structure theory (only some well known consequences, see Theorem 0.2). We prove it essentially in all cases in which the covering lemma holds.

Keywords

  • Strong Limit
  • Order Type
  • Winning Strategy
  • Regular Cardinal
  • Measurable Cardinal

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© 1982 Springer-Verlag Berlin Heidelberg

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Shelah, S. (1982). Strong Covering Lemma and the G.C.H.. In: Proper Forcing. Lecture Notes in Mathematics, vol 940. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21543-2_13

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  • DOI: https://doi.org/10.1007/978-3-662-21543-2_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11593-9

  • Online ISBN: 978-3-662-21543-2

  • eBook Packages: Springer Book Archive