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 Pκ(λ) of the canonical Ramsey theorem for pairs.
https://hal-normandie-univ.archives-ouvertes.fr/hal-02145603
Contributeur : Pierre Matet
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Soumis le : lundi 3 juin 2019 - 10:35:02
Dernière modification le : lundi 15 juillet 2019 - 15:00:55
Laura Fontanella, Pierre Matet. Fragments of strong compactness, families of partitions and ideal extensions. Fundamenta Mathematicae, Instytut Matematyczny, Polskiej Akademii Nauk,, 2016, 234, pp.1-20. ⟨10.4064/fm172-1-2016⟩. ⟨hal-02145603⟩
