Fragments of strong compactness, families of partitions and ideal extensions

Laura Fontanella, and Pierre Matet. "Fragments of strong compactness, families of partitions and ideal extensions." Fundamenta Mathematicae 234.2 (2016): 171-190. <http://eudml.org/doc/286574>.

@article{LauraFontanella2016,
abstract = {We investigate some natural combinatorial principles related to the notion of mild ineffability, and use them to obtain new characterizations of mild ineffable and weakly compact cardinals. We also show that one of these principles may be satisfied by a successor cardinal. Finally, we establish a version for $_\{κ\}(λ)$ of the canonical Ramsey theorem for pairs.},
author = {Laura Fontanella, Pierre Matet},
journal = {Fundamenta Mathematicae},
keywords = {strong compactness; mild ineffability; partition relations; tree property},
language = {eng},
number = {2},
pages = {171-190},
title = {Fragments of strong compactness, families of partitions and ideal extensions},
url = {http://eudml.org/doc/286574},
volume = {234},
year = {2016},
}

TY - JOUR
AU - Laura Fontanella
AU - Pierre Matet
TI - Fragments of strong compactness, families of partitions and ideal extensions
JO - Fundamenta Mathematicae
PY - 2016
VL - 234
IS - 2
SP - 171
EP - 190
AB - We investigate some natural combinatorial principles related to the notion of mild ineffability, and use them to obtain new characterizations of mild ineffable and weakly compact cardinals. We also show that one of these principles may be satisfied by a successor cardinal. Finally, we establish a version for $_{κ}(λ)$ of the canonical Ramsey theorem for pairs.
LA - eng
KW - strong compactness; mild ineffability; partition relations; tree property
UR - http://eudml.org/doc/286574
ER -