In tomorrow’s lecture we will catch a first glimpse of the idea of manifolds, which are pretty central to differential geometry. Rather than giving a formal definition in the smooth case, we’ll introduce a notion of discrete manifolds that capture the most important ideas. These discrete manifolds build on the idea of a simplicial complex, introduced in the previous lecture.
2 thoughts on “Lecture 2B: Introduction to Manifolds”
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I’m loving the course (taking independently via the slides and the YouTube videos, thanks!) I’m going back over this lecture to try to further grok manifolds but the slides seem to be missing (the link gives a 404).
Copy the link and change 2022 into 2021. That should fix any broken link on the site.