Asaf Karagila
I don't have much choice...

In here you can find the things that I have written.

Publications:

(The papers are listed in reversed ordered of writing, the year reflects the completion date and not final publication date.)

  1. (2024) Critical embeddings
    w/ J. Yuan. Submitted.arXiv
  2. (2024) The first measurable can be the first inaccessible cardinal
    w/ Y. Hayut and M. Gitik. Submitted. arXiv
  3. (2023) Which Pairs of Cardinals Can Be Hartogs and Lindenbaum Numbers of a Set?
    w/ C. Ryan-Smith. Submitted. arXiv
  4. (2023) Hilbert Spaces Without Countable AC
    w/ B. Blackadar and I. Farah. To appear in Münster J. Math. arXiv
  5. (2022) Geometric condition for Dependent Choice
    w/ J. Schilhan. To appear in Acta Math. Hungar. arXivJournal
  6. (2022) Small measurable cardinals
    w/ Y. Hayut. Submitted. arXiv
  7. (2021) Sequential and distributive forcings without choice
    w/ J. Schilhan. Canad. Math. Bull. 66 (2023) no. 3, pp, 868–880. MathSciNetarXivJournal
  8. (2021) Choiceless Chain Conditions
    w/ N. Schweber. Eur. J. Math. 8, 393–410 (2022). MathSciNetarXivJournal
  9. (2020) Approaching a Bristol model
    Submitted. arXiv
  10. (2019) The \(\kappa\)-Strongly Proper Forcing Axiom.
    w/ D. Asperó. Preprint. arXiv
  11. (2019) Iterated failures of choice.
    Submitted. arXiv
  12. (2019) How to have more things by forgetting how to count them.
    w/ P. Schlicht. Proc. A. 476 (2020), no. 2239, 782–793. MathSciNetarXivJournal
  13. (2019) Realizing realizability results with classical constructions.
    Bull. Symb. Log. 25 (2019) no. 4, 429–445. MathSciNetarXivJournal
  14. (2019) Kelley-Morse set theory does not prove the class Fodor principle.
    w/ V. Gitman and J.D. Hamkins. Fund. Math. 254 (2021), 133-154. MathSciNetarXivJournal
  15. (2018) The Morris model.
    Proc. Amer. Math. Soc. 148 (2020) 1311–1323. MathSciNetarXivJournal
  16. (2018) Preserving Dependent Choice.
    Bulletin Polish Acad. Sci. Math. 67 (2019), 19-29. MathSciNetarXivJournal
  17. (2018) Dependent Choice, Properness, and Generic Absoluteness.
    w/ D. Asperó. Rev. Symb. Log. 14 (2021) no. 1, 225–249. MathSciNetarXivJournal
  18. (2018) Critical Cardinals.
    w/ Y. Hayut. Israel J. Math. 236 (2020) no. 1, 449–472. MathSciNetarXivJournal
  19. (2017) Spectra of uniformity.
    w/ Y. Hayut. Comment. Math. Univ. Carolin. 60,2 (2019) 287–300. MathSciNetarXivJournal
  20. (2017) The Bristol model: an abyss called a Cohen real.
    J. Math. Log. 18 (2018) no. 2, 1850008, 37 pp. MathSciNetarXivJournal
  21. (2016) Fodor's lemma can fail everywhere.
    Acta Math. Hungar. (2018) 154:231. MathSciNetarXivJournal
  22. (2016) Iterating Symmetric Extensions.
    J. Symb. Log. 84 (2019) no. 1, pp. 123–159. MathSciNetarXivJournal
  23. (2015) Restrictions on Forcings That Change Cofinalities.
    w/ Y. Hayut. Arch. Math. Logic 55 (2016), 373–384. MathSciNetarXivJournal
  24. (2012) Embedding Orders Into The Cardinals With \(\DC_\kappa\).
    Fund. Math. 226 (2014), 143–156. MathSciNetarXivJournal

Notes:

Lecture notes:

Other notes:

Theses: