Guessing Clubs in the Generalized Club Filter

نویسندگان

  • BERNHARD KÖNIG
  • YASUO YOSHINOBU
چکیده

We present principles for guessing clubs in the generalized club filter on Pκλ. These principles are shown to be weaker than classical diamond principles but often serve as sufficient substitutes. One application is a new construction of a λ-Suslin-tree using assumptions different from previous constructions. The other application partly solves open problems regarding the cofinality of reflection points for stationary subsets of [λ]א0 .

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تاریخ انتشار 2006