Topology - Bruno Zimmerman - Lecture 01
Why Mathematics Stack Exchange recommends it
Mathematics Stack Exchange answerers point people to it as a free, complete video course on topology that tracks the Munkres textbook.
Recommended by 1 people across 1 different months, 2017 to 2020.
What it is
The first lecture in a full university-style general topology course by Bruno Zimmermann, recorded at ICTP. The series follows Munkres' Topology, covering topological spaces, continuity, connectedness, compactness, countability and separation axioms, and the fundamental group.
What people said
Recommends user3669039 · 2020-05 · Mathematics Stack Exchange · on “Online Video Course on Topology”
There is a full video course in Youtube: General Topology - ICTP [this video] . It covers chapters 2,3,4 and 9 (topological spaces and continuous functions, connectedness and compactness, countability and separation axioms, the fundamental group) of a standard textbook: Munkres - Topology.
Cites Hikaru · 2017-08 · Mathematics Stack Exchange · on “Most Complete Course Materials Taught Using Munkres? G.F. Simmons? Erwine Kreyszig?”
I found this series of lectures on Topology by Bruno Zimmerman [this video] which uses the book by Munkres, and another series of lectures by Greg Morrow [LINK] which uses the book by Kreyszig. Hope this helps.
Cites Mithrandir · 2020-08 · Mathematics Stack Exchange · on “Is topology just a generalization of real analysis?”
While trying to learn undergraduate topology, I came across this [this video] lecture by Dr. Zimmerman who claims "Topology is a generalization of real analysis, a lot of topology anyway." They are obviously related and topology does seem more general, but this statement still surprised me. Can all of real (and complex) analysis be recast in the framework of topology? Edit: Could I say that real analysis is just studying the topology of $\mathbb{R}$ ?