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What is...cellular homology?
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- čas přidán 2. 08. 2024
- 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.
www.dtubbenhauer.com/youtube.html
Website with exercises.
www.dtubbenhauer.com/lecture-a...
Cellular homology.
en.wikipedia.org/wiki/Cellula...
ncatlab.org/nlab/show/cellula...
Cell complex.
en.wikipedia.org/wiki/CW-complex
Cellular homology and physics.
www3.nd.edu/~mbehren1/present...
Pictures used.
en.wikipedia.org/wiki/Torus#/...
Hatcher’s book (I sometimes steal some pictures from there).
pi.math.cornell.edu/~hatcher/...
Always useful.
en.wikipedia.org/wiki/Counter...
Mathematica.
demonstrations.wolfram.com/Si...
#algebraictopology
#topology
#mathematics
Fantastic lecture, thank you so much!
Thank you so much. I hope you will enjoy AT 😀
nice example walkthrough!
Thank you for the feedback! Examples always work well for me, that is why the video is as it is ;-), and its good to know that other people feel the same.