Archive for Mathematical Logic

, Volume 32, Issue 6, pp 429–442

Stationary Cardinals

  • Wenzhi Sun

DOI: 10.1007/BF01270466

Cite this article as:
Sun, W. Arch Math Logic (1993) 32: 429. doi:10.1007/BF01270466


This paper will define a new cardinal called aStationary Cardinal. We will show that every weakly11-indescribable cardinal is a stationary cardinal, every stationary cardinal is a greatly Mahlo cardinal and every stationary set of a stationary cardinal reflects. On the other hand, the existence of such a cardinal is independent of that of a11-indescribable cardinal and the existence of a cardinal such that every stationary set reflects is also independent of that of a stationary cardinal. As applications, we will show thatV=L implies ◊κ1 holds if κ is11-indescribable and so forth.

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Wenzhi Sun
    • 1
  1. 1.Salem CollegeWinston-SalemUSA

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