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| Name | What is a...Cayley complex? |
| Video Uploader | Video From VisualMath |
| Upload Date | This Video Uploaded At 17-08-2021 23:00:12 |
| Video Discription | Goal. Explaining basic concepts of algebraic topology in an intuitive way. This time. What is a...Cayley complex? Or: Groups geometrically Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Disclaimer. These videos are concerned with algebraic topology, and not general topology. (These two are not to be confused.) I assume that you know bits and pieces about general topology, but not too much, I hope. Slides. http://www.dtubbenhauer.com/youtube.html Website with exercises. http://www.dtubbenhauer.com/lecture-algtop-2021.html Material used. Hatcher, Chapter 1 https://math.stackexchange.com/questions/527799/when-to-attach-2-cells-in-cayley-complexes/537598 Cayley graph. https://en.wikipedia.org/wiki/Cayley_graph Cayley complexes. https://en.wikipedia.org/wiki/Presentation_complex https://math.stackexchange.com/questions/182738/cayley-complex-as-universal-covering-space https://math.stackexchange.com/questions/527799/when-to-attach-2-cells-in-cayley-complexes/537598 https://math.stackexchange.com/questions/712341/what-is-the-cayley-complex-of-dihedral-group-d-4 Pictures used. https://en.wikipedia.org/wiki/Torus#/media/File:Torus.svg Hatcher’s book (I sometimes steal some pictures from there). https://pi.math.cornell.edu/~hatcher/AT/AT.pdf Always useful. https://en.wikipedia.org/wiki/Counterexamples_in_Topology Mathematica. https://reference.wolfram.com/language/ref/CayleyGraph.html https://mathworld.wolfram.com/GridGraph.html #algebraictopology #topology #mathematics uGc4tGDtpRc |
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