Guessing clubs in the generalized club filter

Bernhard König, Paul Larson, and Yasuo Yoshinobu. "Guessing clubs in the generalized club filter." Fundamenta Mathematicae 195.2 (2007): 177-191. <http://eudml.org/doc/286332>.

@article{BernhardKönig2007,
abstract = {We present principles for guessing clubs in the generalized club filter on $_\{κ\}λ$. 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 $[λ]^\{ℵ₀\}$.},
author = {Bernhard König, Paul Larson, Yasuo Yoshinobu},
journal = {Fundamenta Mathematicae},
keywords = {club guessing; diamond principles; iterated forcing},
language = {eng},
number = {2},
pages = {177-191},
title = {Guessing clubs in the generalized club filter},
url = {http://eudml.org/doc/286332},
volume = {195},
year = {2007},
}

TY - JOUR
AU - Bernhard König
AU - Paul Larson
AU - Yasuo Yoshinobu
TI - Guessing clubs in the generalized club filter
JO - Fundamenta Mathematicae
PY - 2007
VL - 195
IS - 2
SP - 177
EP - 191
AB - We present principles for guessing clubs in the generalized club filter on $_{κ}λ$. 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 $[λ]^{ℵ₀}$.
LA - eng
KW - club guessing; diamond principles; iterated forcing
UR - http://eudml.org/doc/286332
ER -