What is...orientability? - EachAmps Songs Downloader

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Name	What is...orientability?
Video Uploader	Video From VisualMath
Upload Date	This Video Uploaded At 09-10-2021 22:00:01
Video Discription	Goal. Explaining basic concepts of algebraic topology in an intuitive way. This time. What is...orientability? Or: A homological definition. 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 Orientability. https://en.wikipedia.org/wiki/Orientability https://www.math.utah.edu/~emina/teaching/127w06/Orientability.pdf https://www.open.edu/openlearn/science-maths-technology/mathematics-statistics/surfaces/content-section-3.2 https://www.math.utah.edu/~emina/teaching/127w06/Orientability.pdf Orientation of a vector space. https://en.wikipedia.org/wiki/Orientation_(vector_space) https://mathworld.wolfram.com/VectorSpaceOrientation.html Manifolds. https://en.wikipedia.org/wiki/Manifold https://ncatlab.org/nlab/show/manifold Right-hand rule. https://en.wikipedia.org/wiki/Right-hand_rule Pictures used. https://mobile.twitter.com/maurice_weiler/status/1404405657789423619/photo/2 https://www.semanticscholar.org/paper/Introduction-to-Smooth-Manifolds-Lee/9788780417087b7766689d9d84864b7fb6290b81/figure/0 https://en.wikipedia.org/wiki/Torus#/media/File:Torus.svg https://en.wikipedia.org/wiki/Klein_bottle#/media/File:Klein_bottle.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/AFamilyOfSurfacesIncludingAMoebiusStrip/ https://demonstrations.wolfram.com/BoySurfaceAndVariations/ #algebraictopology #topology #mathematics 2nUXOiYxT98
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What is...orientability? [2nUXOiYxT98]

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