Emmy Noether and algebraic topology (Q797177)

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scientific article; zbMATH DE number 3868218
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English
Emmy Noether and algebraic topology
scientific article; zbMATH DE number 3868218

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    Emmy Noether and algebraic topology (English)
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    1984
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    The author describes how Emmy Noether around 1926 discerned in the Poincaré method of Betti numbers and torsion coefficients a formulation in terms of \({\mathbb{Z}}\)-modules, a seemingly innocuous modification with far reaching consequences both for the ulterior evolution of Algebraic Topology and later for the birth of Homological Algebra.
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    chain complex
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    homology module
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    Betti numbers
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    torsion coefficients
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