MATH 5026: Topics in Mathematical Logic
Description: Topics include, but are not restricted to, recursion theory (degree structures, hyperarithmetic hierarchy, applications to computable algebra, reverse mathematics), model theory (quantifier elimination, o-minimality, types, categoricity, indiscernible), set theory (ordinals, cardinals, Martin's axiom, constructible sets, forcing), and proof theory (deductive systems, cut elimination and applications, ordinal analysis). With a change of content, this course is repeatable to a maximum of twelve credits.
Prerequisites: MATH 5260.
MATH 5026 - Section 1: Effective Descriptive Set Theory
Description: The study of well-behaved sets of reals, with a focus on the effective theory. Topics include: the Borel, analytic,and co-analytic sets, Polish spaces, Baire category, measure, wellfoundedness, ordinal notations, the hyperarithmetic hierarchy, and determinacy.
Instructor: Linda Brown Westrick
Sections: Spring 2017 on Storrs Campus
|24850||5026||001||Lecture||MWF 12:20:00 PM-01:10:00 PM||OAK239||Westrick, Linda|