Title of the course: Ultrafilters and how to use them
Instructor: Asst. Prof. Burak Kaya
Dates: 26 August – 1 September 2019
Prerequisites: No prior knowledge will be needed except some mathematical maturity. For the second half of the course only, some familiarity with algebraic structures and topological concepts are suggested, but not required.
Level: Graduate, advanced undergraduate, beginning Undergraduate
Abstract: In this course, we shall learn about ultrafilters and their applications in mathematics. The first half of the course will cover the basics (i.e. the construction, properties and different types of ultrafilters) and the second half of the course will cover some applications (e.g. the ultraproduct and ultralimit constructions, Stone-Cech compactification of a discrete space.)
Language: TR, EN