Homotopy Lifting Property

This lecture delves into the homotopy lifting property, explaining how it can be used to lift homotopic maps under certain conditions. The instructor demonstrates the process with diagrams and examples, showcasing how to solve lifting problems on various spaces. The lecture also covers the concept of strong deformation retracts and their role in solving lifting problems. Additionally, the instructor explores the relationship between homotopy groups of pairs in the base space and the total space, providing insights into the general lifting properties of vibrations.