We present principles for guessing clubs in the generalized club filter on . 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 .
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm195-2-5,
author = {Bernhard K\"onig and Paul Larson and Yasuo Yoshinobu},
title = {Guessing clubs in the generalized club filter},
journal = {Fundamenta Mathematicae},
volume = {193},
year = {2007},
pages = {177-191},
zbl = {1132.03020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm195-2-5}
}
Bernhard König; Paul Larson; Yasuo Yoshinobu. Guessing clubs in the generalized club filter. Fundamenta Mathematicae, Tome 193 (2007) pp. 177-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm195-2-5/