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Applications of Lusternik-Schnirelmann category and its generalizations - MaRDI portal

Applications of Lusternik-Schnirelmann category and its generalizations (Q501183)

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scientific article; zbMATH DE number 6492918
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Applications of Lusternik-Schnirelmann category and its generalizations
scientific article; zbMATH DE number 6492918

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    Applications of Lusternik-Schnirelmann category and its generalizations (English)
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    9 October 2015
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    The author describes diverse applications of the category of a topological space (in the sense of Lusternik and Schnirelmann) to various areas of mathematics. For example: Brouwer fixed point theorem, Morse theory, Symplectic geometry, Nonnegative Ricci curvature, Smale topological complexity, etc.
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    Lusternik-Schnirelmann category
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    fixed point theorem
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    topological complexity
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