This is an expository account of work on strong forms of the Axiom of Determinacy (AD) by a group of set theorists in Southern California, in particular by W. Hugh Woodin. The first half of the book reviews necessary background material, including...Daugiau...
We provide analogues of the results from Friedman and Motto Ros (2011) and Camerlo, Marcone, and Motto Ros (2013) (which correspond to the case) for arbitrary -Souslin quasi-orders on any Polish space, for an infinite cardinal smaller than the cardi...Daugiau...
Friedman and Schrittesser set out to answer a long-standing question regarding Lebesgue measurability and the Baire property, and how their behavior can differ with respect to sets in the projective hierarchy. Namely, they prove the theorem if ZF...Daugiau...
Woodin has been a leading figure in set theory since the early 1980s, and colleagues, former students, and other mathematicians wish him happy birthday with 12 papers on matters of interest to him. Their topics include the enumeration of degrees:...Daugiau...
