Tetsuya Ishiu: A precipitous club guessing ideal on omega_1

Week 1, Thursday June 18, 10:05-10:55

For each club guessing sequence, we can define a natural ideal associated with it, called a club guessing ideal. I will talk about how to prove the consistency relative to a measurable cardinal that there is a precipitous club guessing ideal on omega_1 but the non-stationary ideal on omega_1 is not precipitous. If time permits, I will discuss other results about the precipitousness of natural ideals.