Morse theory

"Morse function" redirects here. In another context, a "Morse function" can also mean an anharmonic oscillator: see Morse potential.

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.

单词	Morse inequalities
释义	Morse inequalities 英语百科 Morse theory "Morse function" redirects here. In another context, a "Morse function" can also mean an anharmonic oscillator: see Morse potential. 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.
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Morse inequalities

Morse theory