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[11. Introduction to Fibrations] Poincaré Lemma and homotopic maps
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These are the videos for the course "Introduction to Fibrations" that I teach at Rhur University Bochum during the Spring semester of 2021.
We define the De Rham cohomology as the cohomology of the De Rham complex. We show that star-like domains have trivial De Rham cohomology (the Poincaré Lemma) and that homotopic maps induce the same morphism in cohomology.
We define the De Rham cohomology as the cohomology of the De Rham complex. We show that star-like domains have trivial De Rham cohomology (the Poincaré Lemma) and that homotopic maps induce the same morphism in cohomology.