Introduction to Topology/Geometry I

Catalog description

This is the first course of a two course sequence including definitions and examples of topological spaces, simplicial complexes, topological and smooth manifolds, quotient spaces, CW complexes, projective spaces and knots. Topological properties including elementary separation, compactness, connectedness. Homotopy, the fundamental group, Covering spaces, Euler characteristics, classification of closed surfaces, differential forms, integration, Stokes' theorem, de Rham cohomology.