Understanding Vibrations

This lecture delves into the concept of vibrations, focusing on the extension and lifting properties. The instructor explains how vibrations are related to mapping spaces and introduces the notion of vibrations as a universal lifting problem. Various examples, such as closed curve vibrations and projection maps, are discussed to illustrate different types of vibrations. The lecture concludes by demonstrating how any map can be transformed into a vibration through factorization. Theoretical aspects, including pullbacks of vibrations and the equivalence between vibrations and pushouts, are explored in detail.