Book review of: D. N. Kozlov, Organized collapse. An introduction to discrete Morse theory. (English) Zbl 1506.00012
Review of [Zbl 1455.57001].
MSC:
| 00A17 | External book reviews |
| 57-02 | Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes |
| 57Q70 | Discrete Morse theory and related ideas in manifold topology |
| 55N31 | Persistent homology and applications, topological data analysis |
| 57Q10 | Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. |
| 05C70 | Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) |
| 06A07 | Combinatorics of partially ordered sets |
| 55U10 | Simplicial sets and complexes in algebraic topology |
| 57Q05 | General topology of complexes |
| 58E05 | Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces |
Citations:
Zbl 1455.57001References:
| [1] | Forman, R., Morse theory for cell complexes, Adv. Math., 134, 1, 90-145 (1998) · Zbl 0896.57023 · doi:10.1006/aima.1997.1650 |
| [2] | Hatcher, A., Algebraic Topology (2002), Cambridge: Cambridge University Press, Cambridge · Zbl 1044.55001 |
| [3] | Knudson, K. P., Smooth and Discrete (2015), Hackensack: World Scientific Publishing Co. Pte. Ltd., Hackensack · Zbl 1328.57001 · doi:10.1142/9360 |
| [4] | Kozlov, D., Combinatorial Algebraic Topology (2008), Berlin: Springer, Berlin · Zbl 1130.55001 |
| [5] | Milnor, J., Morse Theory (1963), Princeton: Princeton University Press, Princeton · Zbl 0108.10401 · doi:10.1515/9781400881802 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
