Some introductory notes on different topics within algebraic topology.

- An introduction to fiber bundles.
- An introduction to principal bundles.
- An introduction to characteristic classes.
- An introduction to systems of local (twisted) coefficients.
- Homotopy groups of spheres.
- Introduction to Algebraic K-theory.
- Introduction to the Serre Spectral Sequence.
- Classification of vector bundles over the projective line.
- Stability theorems for persistent homology.
- The main theorems of (co)homology theory proved. (Still being revised—I will update as I write more.)

Finally, here are my MSc dissertation and PhD thesis.