What does morse theory mean?

Definitions for morse theory
morse the·o·ry

This dictionary definitions page includes all the possible meanings, example usage and translations of the word morse theory.


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Wiktionary

  1. Morse theorynoun

    The study of differentiable functions, the domain of each of which is a manifold and the codomain is the real line.

Wikidata

  1. Morse theory

    In differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold. According to the basic insights of Marston Morse, a typical differentiable function on a manifold will reflect the topology quite directly. Morse theory allows one to find CW structures and handle decompositions on manifolds and to obtain substantial information about their homology. Before Morse, Arthur Cayley and James Clerk Maxwell had developed some of the ideas of Morse theory in the context of topography. Morse originally applied his theory to geodesics. These techniques were used in Raoul Bott's proof of his celebrated periodicity theorem. The analogue of Morse theory for complex manifolds is Picard–Lefschetz theory.

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Numerology

  1. Chaldean Numerology

    The numerical value of morse theory in Chaldean Numerology is: 9

  2. Pythagorean Numerology

    The numerical value of morse theory in Pythagorean Numerology is: 8

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"morse theory." Definitions.net. STANDS4 LLC, 2024. Web. 23 Nov. 2024. <https://www.definitions.net/definition/morse+theory>.

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