Lecture

Diffeomorphism and implicit functions

Description

This lecture covers the concepts of diffeomorphisms, implicit functions, and transformations in advanced analysis. It explains the properties of homomorphisms, bijections, and coordinate changes. The lecture also delves into the definition of k-diffeomorphisms and the transformation of coordinates. Additionally, it discusses the local inversion theorem and the Jacobian determinant, providing insights into the local invertibility of functions.

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