Algebraic Topology 16: Singular Homology = Simplicial Homology
Playlist: https://www.youtube.com/playlist?list=PLOROtRhtegr7DmeMyFxfKxsljAVsAn_X4
Is this lecture we sketch an inductive proof that singular homology and simplicial homology are equivalent. The bulk of our time is spent proving the Five Lemma which states that in a commutative diagram between two exact sequences, if four of the maps between the sequences are isomorphisms, so is the fifth.
Presented by Anthony Bosman, PhD.
Learn more about math at Andrews University: https://www.andrews.edu/cas/math/
In this course we are following Hatcher, Algebraic Topology: https://pi.math.cornell.edu/~hatcher/AT/AT.pdf
Видео Algebraic Topology 16: Singular Homology = Simplicial Homology канала Math at Andrews University
Is this lecture we sketch an inductive proof that singular homology and simplicial homology are equivalent. The bulk of our time is spent proving the Five Lemma which states that in a commutative diagram between two exact sequences, if four of the maps between the sequences are isomorphisms, so is the fifth.
Presented by Anthony Bosman, PhD.
Learn more about math at Andrews University: https://www.andrews.edu/cas/math/
In this course we are following Hatcher, Algebraic Topology: https://pi.math.cornell.edu/~hatcher/AT/AT.pdf
Видео Algebraic Topology 16: Singular Homology = Simplicial Homology канала Math at Andrews University
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