Lecturer: Ranjitha Raviprakash
Syllabus: Review of set theory; posets; lattices; modular and distributive lattices; Dedekind’s theorem on modular lattices; Birkhoff’s theorem on distributive lattices; closure systems; axiom of choice and Zorn’s lemma; Ideals and filters in lattices; Stone’s theorem on prime ideals; Fixed point theorems on lattices; Tarski fixed point theorem and applications.
Lectures: There are 4 lectures per week.
Venues: Monday (6 and 7)
Thursday (6 and 7) all in Room 401.
Assessment: There are no formal tests. Assignments based on assigned tutorial problems need to be submitted over the course of the semester.
Assessment will be done with one 3hr exam (counting 100%).
