Robin Forman's discrete Morse theory [49] is instrumental in the analysis of many of the complexes in this book. Though ostensibly simple, this theory has proven to be a powerful tool for analyzing the topology of a wide range of different complexes [4, 32, 36, 60, 94, 95, 118]. For an interesting application of discrete Morse theory to geometry, see Crowley [34].
Keywords
- Simplicial Complex
- Chain Complex
- Cell Complex
- Homotopy Type
- Morse Theory
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Discrete Morse Theory. In: Simplicial Complexes of Graphs. Lecture Notes in Mathematics, vol 1928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75859-4_4
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DOI: https://doi.org/10.1007/978-3-540-75859-4_4
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