53. The open mapping theorem (Cultivating Complex Analysis 5.5)

A graduate course on complex analysis, equivalent to an incoming graduate student one-semester (or a bit more) class.

We state and prove the open mapping theorem, that nonconstant holomorphic functions take open sets to open sets (section 5.5 in the book).

The course is based on the book "Guide to Cultivating Complex Analysis", which is available freely online at

https://www.jirka.org/ca/

(You can also buy an inexpensive paperback copy, the best way to support this project)

See the course playlist: https://www.youtube.com/playlist?list=PLRfQb6m35rf5vZaOlSXVmt0hgJepfEqCw

Видео 53. The open mapping theorem (Cultivating Complex Analysis 5.5) канала Prof. Jiří Lebl