Guessing clubs in the generalized club filter

• Autorzy: Bernhard König , Paul Larson , Yasuo Yoshinobu
• Języki publikacji: EN

Abstrakty

EN

We present principles for guessing clubs in the generalized club filter on $𝓟_{κ}λ$. 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 $[λ]^{ℵ₀}$.

Kategorie tematyczne

• 03E40: Other aspects of forcing and Boolean-valued models
• 03E05: Other combinatorial set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 195
• Numer: 2
• Strony: 177-191

Daty

wydano

2007

Twórcy

autor

Bernhard König

• Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 2E4

autor

Paul Larson

• Department of Mathematics and Statistics, Miami University, Oxford, OH 45056, U.S.A.

autor

Yasuo Yoshinobu

• Graduate School of Information Science, Nagoya University, Furocho, Chikusa-ku, Nagoya 464-8601, Japan

Identyfikatory

DOI

10.4064/fm195-2-5