Lecture by Pablo Morales

May 20, 2022

Zoom link: https://dtudk.zoom.us/j/63952790964

A brief review from topology to manifolds.

  1. Primer on Topologies, Topological Spaces
    • Definition, examples
    • Continuity and Inherited topologies
  2. Topological Manifolds
    • Definition, examples
    • (U,x) Charts and Coordinate maps
    • Atlas and Chart Transition maps
  3. Revisiting Vector Spaces
    • Linear maps
    • Homomorphisms from set to Vector Space
    • Dual Vector spaces
    • Multilinear maps, Tensor fields