This course provides an introduction to modern set theory. There is an emphasis on techniques that are applicable to other areas of mathematics. Whenever possible, examples from algebra and number theory are presented, however students are not required to have any specific knowledge of these subjects.
MATH 403 or MATH 410
Zermelo-Fraenkel axioms, partially ordered sets, Zorn's lemma, equivalents of the axiom of choice, ordinal and cardinal arithmetic, filters, trees, König's lemma, well-founded relations and transfinite induction.