00:00:00 / 00:00:00

The Jackson analysis and the strongest hypotheses

By Gabriel Goldberg

Appears in collection : XVI International Luminy Workshop in Set Theory / XVI Atelier international de théorie des ensembles

In his work on the projective ordinals, Jackson initiated a detailed analysis of the structure of the cardinal numbers in the inner model L(R). To complete this analysis seems to require the development of a global theory of measures on ordinals in L(R). We present some results in this direction which are inspired by the unexplained analogy between the Axiom of Determinacy and the strongest large cardinal hypotheses.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.19809403
  • Cite this video Goldberg Gabriel (9/13/21). The Jackson analysis and the strongest hypotheses. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19809403
  • URL https://dx.doi.org/10.24350/CIRM.V.19809403

Domain(s)

Bibliography

  • Goldberg, Gabriel. "Even ordinals and the Kunen inconsistency." arXiv preprint arXiv:2006.01084 (2020). - https://arxiv.org/abs/2006.01084
  • Steel, John R., and W. Hugh Woodin. "HOD as a core model." Ordinal definability and recursion theory: the Cabal Seminar. Vol. 3. 2016.
  • Woodin, W. Hugh. "Suitable extender models II: beyond ω-huge." Journal of Mathematical Logic 11.02 (2011): 115-436. - https://doi.org/10.1142/S021906131100102X
  • Jackson, Steve. "AD and the projective ordinals." in Kechris A.S., Martin D.A., Steel J.R. (eds) Cabal Seminar 81–85. Lecture Notes in Mathematics, vol 1333 Springer, Berlin, Heidelberg, 1988. - https://doi.org/10.1007/BFb0084974
  • Cramer, Scott. "Implications of very large cardinals." in Caicedo, Andrés Eduardo, et al., eds. Foundations of Mathematics. Contemporary Mathematics 690 (2017): 225-257.American Mathematical Soc., 2017. - https://www.ams.org/books/conm/690/13870

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorite subjects
Give feedback