Israel Journal of Mathematics

, Volume 63, Issue 2, pp 243–256 | Cite as

Playing with admissibility spectra

  • Robert S. Lubarsky


Jensen showed that any countable sequenceA ofA-admissibles is the initial part of the admissibility spectrum of a realR. His construction generalizes straightforwardly to Σ n -admissibles. This adaptation makes admissibles not inA R-inadmissible. We strengthen Jensen’s theorem by requiring that Σ n (A)-admissibles not inA be Σ m (R)-admissible or Σ m (R)-non-projectible, form <n.


Extension Property Closure Property Countable Sequence Large Cardinal Skolem Function 
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Copyright information

© The Weizmann Science Press of Israel 1988

Authors and Affiliations

  • Robert S. Lubarsky
    • 1
  1. 1.Department of MathematicsCornell UniversityIthacaUSA

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