Dan Hathaway's Published Papers

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For almost all of these, versions almost identical to the published one should be on arXiv.org.
I have also provided the pdfs for most of these on this website.

    Publications

  1. Applying Generic Coding with Help to Uniformizations.
    The Annals of Pure and Applied Logic, 174 (2023), no. 4,
    103244, ISSN 0168-0072.
    PDF

  2. Bounding 2D Functions by Products of 1D Functions.
    With Francois Dorais.
    Mathematical Logic Quarterly, 68 (2022), no 2, pp 202-212.
    PDF.

  3. Generic Coding with Help and Amalgamation Failure.
    With Sy David Friedman.
    Journal of Symbolic Logic, 86 (2021), no 4, pp 1385-1395.
    PDF.

  4. Classes of barren extensions.
    With Natasha Dobrinen.
    Journal of Symbolic Logic, 86 (2021), no 1, pp 178-209.
    PDF.

  5. Perfect tree forcings for singular cardinals.
    With Natasha Dobrinen and Karel Prikry.
    Annals of Pure and Applied Logic, 171 (2020), no. 9, Article 102827.
    PDF.

  6. Forcing and the Halpern-Lauchli Theorem.
    With Natasha Dobrinen.
    Journal of Symbolic Logic, 85(2020), no 1, pp 87-102.
    PDF.

  7. Sacks forcing and the shrink wrapping property.
    With Osvaldo Guzman Gonzales.
    Fund Math. 248 (2020), no 1, pp 33-47.
    PDF.

  8. Ramsey theory on generalized Baire space.
    Topology and its applications. 235 (2018), pp 104-112.
    PDF.

  9. The Halpern-Lauchli theorem at a measurable cardinal.
    With Natasha Dobrinen.
    Journal of Symbolic Logic. 82 (2017) pp 1560-1575.
    PDF.

  10. Disjoint Borel Functions.
    Annals of Pure and Applied Logic. 168, no 8 (2017), pp 1552-1563.
    PDF.

  11. Weak distributivity implying distributivity.
    Journal of Symbolic Logic. 81 (2016), pp 711-717.
    PDF.

  12. Combinatorics of reductions between equivalence relations.
    With Scott Schneider.
    Discrete Mathematics. 338, no. 11 (2015), pp 2089-2094.
    PDF.

  13. A simple C*-algebra with finite nuclear dimension which is not Z-stable.
    With Ilijas Farah, Takeshi Katsura, and Aaron Tikuisis
    Munster Journal of Mathematics. 7, no. 2 (2014), pp 515-528.
    Abstract, arXiv .

  14. Continuity Induction.
    College Mathematics Journal. May 2010.
    PDF.