La théorie des cofinalités possibles et ses applications

Abstract : Cardinal arithmetic, which has given birth to set theory,seemed to be until lately either simple (addition and multiplication ofinfinite cardinals are simple), or quite elastic (by forcing methods, it seemed possible to show the consistency with set theory of any reasonablebehaviour of cardinal exponentiation). Saharon Shelah has developped a rich theory with surprising applications in cardinal arithmetic, changing completely those beliefs. We present a state of the art of this theory anda certain number of its applications.
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Grégory Lafitte. La théorie des cofinalités possibles et ses applications. [Rapport de recherche] LIP RR-1999-48, Laboratoire de l'informatique du parallélisme. 1999, 2+19p. ⟨hal-02102098⟩

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