Geodesic
Guessing clubs in the generalized club filter
Bernhard König1 ; Paul Larson2 ; Yasuo Yoshinobu3
1 Department of Mathematics University of Toronto Toronto, Ontario, Canada M5S 2E4
2 Department of Mathematics and Statistics Miami University Oxford, OH 45056, U.S.A.
3 Graduate School of Information Science Nagoya University Furocho, Chikusa-ku Nagoya 464-8601, Japan
Fundamenta Mathematicae, Tome 195 (2007) no. 2, pp. 177-191.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present principles for guessing clubs in the generalized club filter on ${\cal P}_\kappa\lambda$. 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 $\lambda^+$-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 $[\lambda]^{\aleph_0}$.
DOI : 10.4064/fm195-2-5
Keywords: present principles guessing clubs generalized club filter cal kappa lambda these principles shown weaker classical diamond principles often serve sufficient substitutes application construction lambda suslin tree using assumptions different previous constructions other application partly solves problems regarding cofinality reflection points stationary subsets nbsp lambda aleph

Bernhard König 1 ; Paul Larson 2 ; Yasuo Yoshinobu 3

1 Department of Mathematics University of Toronto Toronto, Ontario, Canada M5S 2E4
2 Department of Mathematics and Statistics Miami University Oxford, OH 45056, U.S.A.
3 Graduate School of Information Science Nagoya University Furocho, Chikusa-ku Nagoya 464-8601, Japan 
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Bernhard König; Paul Larson; Yasuo Yoshinobu. Guessing clubs in the generalized club filter. Fundamenta Mathematicae, Tome 195 (2007) no. 2, pp. 177-191. doi : 10.4064/fm195-2-5. http://geodesic.mathdoc.fr/articles/10.4064/fm195-2-5/

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