What is...a handle decomposition? скачать в хорошем качестве

What is...a handle decomposition?

Goal. Explaining basic concepts of geometric topology in an intuitive way. This time. What is...a handle decomposition? Or: Handles and even more handles! Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Disclaimer. Geometric topology is usually the study of manifolds. This can mean manifold things ;-) So to be precise, this video series is mostly about knots, surfaces, three and four manifolds. Slides. http://www.dtubbenhauer.com/youtube.html Website with exercises. http://www.dtubbenhauer.com/lecture-g... Thumbnail. https://www.researchgate.net/profile/... Geometric topology. https://en.wikipedia.org/wiki/Geometr... https://en.wikipedia.org/wiki/List_of... https://en.wikipedia.org/wiki/Manifold https://en.wikipedia.org/wiki/Knot_(m...) https://en.wikipedia.org/wiki/Surface...) https://en.wikipedia.org/wiki/3-manifold Concepts in geometric topology. https://en.wikipedia.org/wiki/Knot_in... https://en.wikipedia.org/wiki/Braid_g... https://en.wikipedia.org/wiki/Euler_c... https://en.wikipedia.org/wiki/Mapping... https://en.wikipedia.org/wiki/Exotic_... https://en.wikipedia.org/wiki/Poincar... https://en.wikipedia.org/wiki/Thursto... https://en.wikipedia.org/wiki/Cobordism https://en.wikipedia.org/wiki/Unknott... Applications of geometric topology. https://physics.stackexchange.com/que... https://mathoverflow.net/questions/48... https://math.mit.edu/research/highsch... The wild world of four manifolds. https://en.wikipedia.org/wiki/4-manifold https://en.wikipedia.org/wiki/Categor... https://arxiv.org/abs/math/0610700 https://web.stanford.edu/~cm5/4D.pdf https://bookstore.ams.org/gsm-20 https://global.oup.com/academic/produ... https://en.wikipedia.org/wiki/Four-di... Pictures used. https://en.wikipedia.org/wiki/File:Sp... https://ars.els-cdn.com/content/image... https://en.wikipedia.org/wiki/Doughnut Picture from    • What are...cell complexes?   https://www.researchgate.net/profile/... Some books I am using (I sometimes steal some pictures from there). https://www.math.cuhk.edu.hk/course_b... https://arxiv.org/abs/1610.02592?cont... https://www.degruyter.com/document/do... https://bookstore.ams.org/fourman https://www.degruyter.com/document/do... https://bookstore.ams.org/surv-55 https://bookstore.ams.org/gsm-20 KnotAtlas. http://katlas.math.toronto.edu/wiki/T... SnapPy. https://snappy.math.uic.edu/ Mathematica. http://katlas.org/wiki/The_Mathematic... https://demonstrations.wolfram.com/Ch... SageMath. https://doc.sagemath.org/html/en/refe... #geometrictopology #topology #mathematics