# Blog Archives

# Topic Archive: HOD-supercompact

Set theory seminarFriday, November 21, 201412:00 pmGC 6417

# Does the HOD dichotomy preclude a model of a proper class of supercompact cardinals which are not HOD-supercompact?

Kingsborough Community College, CUNY

I will be presenting my version of the notes of Woodin’s talk at the Appalachian Set Theory seminar on his paper, the HOD Dichotomy. In particular I will be discussing Woodin’s version and definition of a model of set theory being “far from HOD”. I will also be discussing how this relates to some possible future results (see title) as well as a recent result of Cheng,Friedman and Hamkins, which seem on their face to contradict Woodin’s premise.

Set theory seminarFriday, November 9, 201210:00 amGC 6417

# Extending a property of HOD-supercompactness. Or Not.

Kingsborough Community College, CUNY

I will discuss a result of Sargsyan and his method of proof in order to show why a theorem from my dissertation was incorrect, and some of the interesting results we discovered in an effort to save the theorem.