Lecture
This lecture covers the concept of homotopy invariance, discussing the properties of continuous functions and their preservation under homotopy. It explores the relationship between homotopy and topological spaces, emphasizing the invariance of homotopy classes. The lecture also delves into the notion of homotopy equivalence and provides propositions to illustrate these concepts. Additionally, it examines the composition of functions and their behavior under homotopy, highlighting the significance of homotopy in preserving certain properties of functions.