Università Roma Tre

- Recap of Topolgical notions: fundamental group of a topological space, covering spaces;
- Introduction to Category Theory and basics of Homological Algebra;
- Simplicial and Singular Homology;
- Cohomology;
- Persistent Homology and applications to Topological Data Analysis.

1. Notes of the lecturer;
2. A. Hatcher: Algebraic Topology (available online);