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MTH-102.4 Topology

Axioms of set theory, partial order, ordinality, cardinality, Schroeder-Bernstein Theorem, axiom of choice and its equivalents.

Topological spaces, induced topology, product topology, separation axioms - T0,T1,T2,T3,T4

spaces, Urysohn's lemma and Tietze extension theorem, connectedness, compactness, Tychnoff theorem, I and II axiom of countability, metric spaces, Baire category theorem, Banach fixed point theorem.