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H 1 Reflection of clubs, and forcing principles at $\aleph_2$

Auteurs : Neeman, Itay (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : In 1971 Baumgartner showed it is consistent that any two $\aleph_1$-dense subsets of the real line are order isomorphic. This was important both for the methods of the proof and for consequences of the result. We introduce methods that lead to an analogous result for $\aleph_2$-dense sets.

    Keywords : forcing - large cardinals - Baumgartner isomorphism - infinitary Ramsey principles - reflection principles

    Codes MSC :
    03E05 - Combinatorial set theory (logic)
    03E35 - Consistency and independence results
    03E50 - Continuum hypothesis and Martin's axiom, See also {04A30, 54A25}
    03E55 - Large cardinals
    03E57 - Generic absoluteness and forcing axioms

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 07/10/14
      Date de captation : 30/09/14
      Collection : Logic and Foundations
      Sous collection : Research talks
      Format : quicktime ; audio/x-aac
      Domaine : Logic and Foundations
      Durée : 00:58:32
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2014-09-30_Neeman.mp4

    Informations sur la rencontre

    Nom de la rencontre : 13th International workshop in set theory / 13ème Atelier international de théorie des ensembles
    Organisateurs de la rencontre : Louveau, Alain ; Magidor, Menachem ; Velickovic, Boban
    Dates : 29/09/14 - 03/10/14
    Année de la rencontre : 2014

    Citation Data

    DOI : 10.24350/CIRM.V.18603903
    Cite this video as: Neeman, Itay (2014). Reflection of clubs, and forcing principles at $\aleph_2$. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18603903
    URI : http://dx.doi.org/10.24350/CIRM.V.18603903