Math 373

Topological spaces, examples, closure of a set, derived set, subspace, topology. Bases, finite product topology, subbases. Metric spaces, examples, metrizability, Rn as a metrizable space. Continuous functions, characterization of continuous functions on topological and metric spaces, homeomorphisms, examples, topological property. Compact spaces, compactness in Rn , limit point and sequentially compact spaces.