5701 ريض - الهندسة التبولوجيا

Math 5701 - Geometry and Topology:

 

1. Topology

1. Connected spaces, Path connected spaces, Connected components, Locally connected spaces.
2. Quotient spaces.
3. The separation axioms (Hausdorff, Regular, Normal).

 

1. Differential Geometry

1. Differentiable manifolds, Submanifolds of R^n and classical Lie groups. Tangent spaces.
2. Differential mappings between manifolds, Inverse and implicit function theorems on manifolds.