Notes, Slides, and Other

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  1. A theorem by Lajos Soukup that if you have omega_1 functions from omega to omega, then there is a size omega subfamily that is bounded with respect to everywhere domination.
    PDF


  2. Informal talk about classical facts about distributive laws for complete Boolean algebras.
    PDF.
    Note: I talk about the Covering Lemma. I also mention some of my results in "Weak Distributivity implying Distributivity".


  3. CBAsAndWeakDist
  4. Generic Coding with Help (Official)
    PDF.
    The official talk that goes with Sy-David Friedman's paper with myself called "Generic Coding with Help and Amalgamation Failure".


  5. Generic Coding with Help (Brainstorming)
    PDF.
    I never gave this talk, but I used these slides for brainstorming.


  6. The Halpern-Lauchli Theorem and an Indestructible Partition Relation
    PDF.
    Connects the work of Natasha Dobrinen and myself on the HL to the work of Jing Zhang.


  7. Ramsey theory on generalized Baire space.
    PDF.


  8. Disjoint Infinity-Borel Functions overview slides (more in depth).
    PDF.
    Some key ideas in the "Disjoint Infinity-Borel Function" project (as well as the "Disjoint Borel Function" project) lead to the "Generic Coding with Help and Amalgamation Failure" project with Sy-David Friedman.


  9. Disjoint Infinity-Borel Functions overview slides (overview).
    PDF.
    The "Disjoint Infinity-Borel function" project came out of the "Disjoint Borel Function" project.


  10. The Halpern-Lauchli Theorem at a Measurable Cardinal slides.
    PDF.


  11. Disjoint Borel Functions slides.
    PDF.
    Goes with the paper Disjoint Borel Functions. Note: The main ideas came from my thesis.


  12. No Unwanted Universally Baire Morphisms.
    arXiv ,


  13. Poster for Weak Distributivity implying Distributivity.
    PDF ,
    Note: this turned into my paper "Weak Distributivity Implying Distributivity". The main ideas came from my thesis.


  14. A lower bound for generalized dominating numbers.
    arXiv ,
    Note: this turned into my paper "Weak Distributivity Implying Distributivity". The main ideas came from my thesis.


  15. A lower bound for generalized dominating numbers.
    arXiv ,
    Note: this turned into my paper "Weak Distributivity Implying Distributivity". The main ideas came from my thesis.


  16. Dominating a function that blows up.
    PDF,
    A result from my thesis.


  17. Generalized Domination (my PhD thesis).
    PDF.


  18. Diagram of Cardinal Characteristics.
    JPG.