Geodesic
Fragments of strong compactness, families of partitions and ideal extensions
Laura Fontanella 1   ; Pierre Matet 2
1 Einstein Institute of Mathematics Hebrew University of Jerusalem Edmund Safra Campus Givat Ram, Jerusalem, Israel
2 Laboratoire de Mathématiques Nicolas Oresme Université de Caen – CNRS BP 5186 14032 Caen Cedex, France
Fundamenta Mathematicae, Tome 234 (2016) no. 2, pp. 171-190 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\mathcal {P}_\kappa (\lambda )$ of the canonical Ramsey theorem for pairs.
DOI : 10.4064/fm172-1-2016
Keywords: investigate natural combinatorial principles related notion mild ineffability obtain characterizations mild ineffable weakly compact cardinals these principles may satisfied successor cardinal finally establish version mathcal kappa lambda canonical ramsey theorem pairs

Laura Fontanella  1   ; Pierre Matet  2

1 Einstein Institute of Mathematics Hebrew University of Jerusalem Edmund Safra Campus Givat Ram, Jerusalem, Israel
2 Laboratoire de Mathématiques Nicolas Oresme Université de Caen – CNRS BP 5186 14032 Caen Cedex, France 
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Laura Fontanella; Pierre Matet. Fragments of strong compactness, families of partitions and ideal extensions. Fundamenta Mathematicae, Tome 234 (2016) no. 2, pp. 171-190. doi: 10.4064/fm172-1-2016

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