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| Name | What is...cellular homology? |
| Video Uploader | Video From VisualMath |
| Upload Date | This Video Uploaded At 04-09-2021 23:00:16 |
| Video Discription | Goal. Explaining basic concepts of algebraic topology in an intuitive way. This time. What is...cellular homology? Or: Winding around. 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 Cellular homology. https://en.wikipedia.org/wiki/Cellular_homology https://ncatlab.org/nlab/show/cellular+homology Cell complex. https://en.wikipedia.org/wiki/CW-complex Cellular homology and physics. https://www3.nd.edu/~mbehren1/presentations/Detectors_in_homotopy_theory.pdf 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://demonstrations.wolfram.com/SimplicialHomologyOfTheAlphaComplex/ #algebraictopology #topology #mathematics N8JDP1uvT8g |
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