MAT3003

Catalog entry

Prerequisite: Combinatorics and Probability MAT2313, or Applied Graph Theory MAT4323, or instructor consent.

Contents: Partially ordered sets, maximum/maximal and minimum/minimal elements. Well-ordered sets. Maximality principlies (Zorn's lemma, Well-ordering principle, Hausdorff maximality lemma). Boolean algebras and the Stone representation theorem. Generalizations of the Stone representation theorem.