1Department of Mathematics University of Toronto Toronto, Ontario, Canada M5S 2E4 2Department of Mathematics and Statistics Miami University Oxford, OH 45056, U.S.A. 3Graduate School of Information Science Nagoya University Furocho, Chikusa-ku Nagoya 464-8601, Japan
Fundamenta Mathematicae, Tome 195 (2007) no. 2, pp. 177-191
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 $[\lambda]^{\aleph_0}$.
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
Affiliations des auteurs :
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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author = {Bernhard K\"onig and Paul Larson and Yasuo Yoshinobu},
title = {Guessing clubs in the generalized club filter},
journal = {Fundamenta Mathematicae},
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AU - Paul Larson
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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
