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An animated explainer on homotopy groups. Discusses geometric intuition for π₁/π₂/π₃ using loopspaces of metric spaces.

Goal. Explaining basic concepts of algebraic topology in an intuitive way. This time. What is...homotopy? Or: The same shape!

Lecture 1 of Algebraic Topology course by Pierre Albin.

Playlist: https://www.youtube.com/playlist?list=PLOROtRhtegr7DmeMyFxfKxsljAVsAn_X4 When are two shapes the "same"?

In this video, I will introduce homotopy equivalence, some basic examples of homotopy, and the transitivity of homotopy. I use an ...

Homotopy Type Theory (HoTT) gives us a new foundation for mathematics. From it, we can naturally describe algebraic structures, ...

Discussing Homotopy Type Theory with Professor Thorsten Altenkirch. Main Vladimir Voevodsky Video: ...

breakthroughjuniorchallenge.

Homotopy between paths in a topological space can be tough to understand. This video aims to make it easy to understand!

Voevodsky took his knowledge of abstract geometry and applied it to Computer Science, then took Computer Science principles ...

In this video we will talk about deformation , Homotopy and its animation. homotopy is a part of algebraic topology and advanced ...

This talk was recorded as part of a workshop hosted by ICMS. For more of our talk recordings have a look at the other event ...

Playlist: https://www.youtube.com/playlist?list=PLOROtRhtegr7DmeMyFxfKxsljAVsAn_X4 We prove that if two spaces are ...

This video is based on this book by Allen Hatcher: https://amzn.to/3DGT8EK PDF link if you want a more detailed explanation: ...