In this program
- Topological and smooth manifolds (definitions and examples)
- Tangent spaces
- Vector fields (introduction)
- Orientation and degree (overview)
Manifolds and geometry intro
Topological and smooth manifolds (definitions and examples)
Topology · Theoretical / proof-based
Topic
Topological and smooth manifolds (definitions and examples)
Graduate Topology — scope drawn from Bradley–Bryson–Terilla Topology (MIT Press open chapters) and typical graduate point-set / algebraic topology intro syllabi.