Conley-Morse-Forman theory for combinatorial multivector fields on Lefschetz complexes (Q1692134)
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| English | Conley-Morse-Forman theory for combinatorial multivector fields on Lefschetz complexes |
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Conley-Morse-Forman theory for combinatorial multivector fields on Lefschetz complexes (English)
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26 January 2018
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\textit{R. Forman} [Adv. Math. 134, No. 1, 90--145 (1998; Zbl 0896.57023)] introduced combinatorial vector fields and developed an adapted form of Morse theory for this setting. Here the ideas of Forman are combined with concepts from topological dynamics to obtain algorithmic approaches to dynamical systems that are only observed through a finite set of samples.
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combinatorial vector field
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Conley index theory
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discrete Morse theory
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attractor
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repeller
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Morse decomposition
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Morse inequalities
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topology of finite sets
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