MATH 544

Topology and Geometry of Manifolds

Prerequisites

MATH 404 and MATH 426 or equivalent.

Description

First quarter of a three-quarter sequence covering general topology, the fundamental group, covering spaces, topological and differentiable manifolds, vector fields, flows, the Frobenius theorem, Lie groups, homogeneous spaces, tensor fields, differential forms, Stokes's theorem, deRham cohomology.