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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. | 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. | ||
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Latest revision as of 13:42, 29 January 2025
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.
