PMATH 367 – LEC 0.50 – Course ID: 007677 – Set Theory & General Topology

Relations, functions, well-orderings, Schroder-Bernstein theorem, recursion, axiom of choice and equivalents, ordinals, cardinals, continuum hypothesis, singular and inaccessible cardinals. Topological spaces, bases and sub-bases, closure and interior, product spaces, quotient spaces, nets and filters. Hausdorff spaces, completely regular and normal spaces, Urysohn’s lemma, Tietze extension theorum. Compactness, Tychonoff’s theorum, Stone-Cech compactification. Connectedness, path connectedness, Function spaces. Prereq: AMATH/PMATH 331 or PMATH 351; Not open to General Mathematics students




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