Cours fondamental 1 (TA)
ausoni à univ-paris13.fr
Notes de cours : https://www.math.univ-paris13.fr/~ausoni/m2-2022.html
This lecture course serves as an introduction to the homotopy theory of topological spaces and simplicial sets.
We will introduce homotopy groups, compute them in some examples, and study their properties and the relationship to singular homology theory.
We will then define generalized (co)-homology theories and conclude with the example of stable homotopy.
This lecture course also provides prerequisites and motivating examples for the sequel lecture course "Homotopie 2" by Geoffroy Horel.