Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Splitting Pκλ into Stationary Subsets

Yo Matsubara
The Journal of Symbolic Logic
Vol. 53, No. 2 (Jun., 1988), pp. 385-389
DOI: 10.2307/2274510
Stable URL: http://www.jstor.org/stable/2274510
Page Count: 5
  • Read Online (Free)
  • Download ($10.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Splitting Pκλ into Stationary Subsets
Preview not available

Abstract

We show that if κ is an inaccessible cardinal then Pκλ splits into $\lambda^{<\kappa}$ many disjoint stationary subsets. We also show that if Pκλ carries a strongly saturated ideal then the nonstationary ideal cannot be λ+-saturated.

Page Thumbnails

  • Thumbnail: Page 
385
    385
  • Thumbnail: Page 
386
    386
  • Thumbnail: Page 
387
    387
  • Thumbnail: Page 
388
    388
  • Thumbnail: Page 
389
    389