Stationary reflection and the club filter

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Author(s)

Abstract

Suppose that κ is a regular uncountable cardinal. It has been known that the club filter on \\mathcal{P}<SUB>ω<SUB>1</SUB></SUB>κ can be presaturated. In this paper we extend the result to the case of \\mathcal{P}<SUB>μ</SUB>κ, where μ is a regular uncountable cardinal ≤κ. This involves suitably weakening the notion of presaturation. A new reflection principle for stationary sets in \\mathcal{P}<SUB>κ</SUB>λ plays a key role.

Journal

  • Journal of the Mathematical Society of Japan

    Journal of the Mathematical Society of Japan 59(4), 1045-1065, 2007-10-01

    The Mathematical Society of Japan

References:  29

Codes

  • NII Article ID (NAID)
    10019989322
  • NII NACSIS-CAT ID (NCID)
    AA0070177X
  • Text Lang
    ENG
  • Article Type
    ART
  • ISSN
    00255645
  • NDL Article ID
    9304243
  • NDL Source Classification
    ZM31(科学技術--数学)
  • NDL Call No.
    Z53-A209
  • Data Source
    CJP  NDL  J-STAGE 
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