More drawings by Robert Ghrist. Point-set topology, differential topology, geometric topology, symplectic topology, algebraic topology illustrated. From his (free) notes on applied homology.
GLOSSARY
- Topology = connections between things.
- Manifolds come in a wide variety of shapes, but they’re all tame.
- Vector fields = arrows on a manifold.
- Differential = linear approximation.
- Symplectic = isotropic + antisymmetric + bilinear. (erm, not as complicated as it sounds)
- Phase Space means these things can be conceptual rather than literal.
