**Point set topology**

- ★★★★★ Topology I: limits, morphisms, the neighbourhood filter, open sets
- ★★★★☆ Topology II: Kuratowski closure topology, nets, neighbourhood basis, dense sets
- ★★★★☆ Topology III: example topologies, inherited topologies, distinguishability
- ★★★★☆ Supplementary definitions: connectedness, clopen sets
- ★★★★☆ Supplementary definitions: compactness, compactification, hemicompactness
- Supplementary definitions: local stuff
- ★★★★☆ Supplementary definitions: levels of abstraction
- Supplementary definitions: paracompactness -- see, see, see
- Wrapping, unwrapping and simply connectedness
- Topology of Euclidean space, etc. -- see, see
- Metrisability -- see, see?
- Knot theory

**Algebraic topology**

- Paths, dimensions, Fundamental group, contractibility, homotopy, topological invariants, etc.
- Euler characteristic, etc.

Homology, Cohomology, Topology of derivatives and Stokes' theorem [1]

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