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Fragments of strong compactness, families of partitions and ideal extensions

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.
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https://hal-normandie-univ.archives-ouvertes.fr/hal-02145603
Contributor : Pierre Matet Connect in order to contact the contributor
Submitted on : Monday, June 3, 2019 - 10:35:02 AM
Last modification on : Wednesday, November 3, 2021 - 6:21:14 AM

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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⟩

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