Lecture
A Lemma: Introduction to Homology Groups
Related lectures (43)
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Explores the topological Künneth Theorem, emphasizing commutativity and homotopy equivalence in chain complexes.
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Covers homology with coefficients, introducing the concept of defining homology groups with respect to arbitrary abelian groups.
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Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.
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Introduces singular homology, defining singular simplices and explaining the chain complex construction.
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Delves into the universal coefficient theorems in homological algebra, showcasing their practical application in computing homology and cohomology groups.
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Covers the structure of topological spaces with A-complexes and chain complexes.
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