Another look at bounded forcing axioms

14.06.2022 15:00 - 16:30

G. Fuchs (CUNY, US)

Bounded forcing axioms were introduced by Goldstern and Shelah as weak versions of the usual forcing axioms, and were subsequently proved to be equivalent to a form of generic absoluteness. I will describe a characterization of these bounded forcing axioms that is more closely related to Woodin's characterization of the regular forcing axioms, and that can be seen more directly to entail Bagaria's generic absoluteness property. This new way of stating the bounded forcing axioms is very natural and provides a different perspective. It grew out of work with Ben Goodman.

Organiser:

KGRC

Location:

SR 10, 1. Stock, Koling. 14-16, 1090 Wien