A basic and concise introduction to Topological Data Analysis

This course will introduce some basic concepts of Computational Topology and Topological Data Analysis. The focus will primarily be on discrete and combinatorial aspects, minimizing topological elements that may be less accessible to computer science students. The details of the proofs will usually be omitted. The aim of the course is to present, in a relatively simple and concise manner, the basic elements of a theory that allows the mathematical formalization of the concept of “shape of data.”