Discrete Morse theory / Nicholas A. Scoville.

By: Scoville, Nicholas A [author.]
Material type: TextTextSeries: Student mathematical library ; volume 90Publisher: Providence, Rhode Island : American Mathematical Society, [2019]Description: pages cmContent type: text Media type: unmediated Carrier type: volumeISBN: 9781470452988Subject(s): Combinatorial topology | Morse theory | Homology theory | Homotopy theory | Algebraic topology -- Applied homological algebra and category theory [See also 18Gxx] -- Abstract complexes | Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} -- Variational problems in infinite-dimensional spaces -- Abstr | Manifolds and cell complexes {For complex manifolds, see 32Qxx} -- PL-topology -- General topology of complexes | Manifolds and cell complexes {For complex manifolds, see 32Qxx} -- PL-topology -- Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. [See also 19B28]DDC classification: 514/.72 LOC classification: QA612.14 | .S36 2019Other classification: 55U05 | 58E05 | 57Q05 | 57Q10
Contents:
What is discrete Morse theory? -- Simplifying complexes -- Discrete Morse theory -- Simplicial homology -- Main theorems of discrete Morse theory -- Discrete Morse theory and persistent homology -- Boolean functions and evasiveness -- The Morse complexes -- Morse homology -- Computations with discrete Morse theory -- Strong discrete Morse theory.
List(s) this item appears in: New arrivals February 2020
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Includes bibliographical references and index.

What is discrete Morse theory? -- Simplifying complexes -- Discrete Morse theory -- Simplicial homology -- Main theorems of discrete Morse theory -- Discrete Morse theory and persistent homology -- Boolean functions and evasiveness -- The Morse complexes -- Morse homology -- Computations with discrete Morse theory -- Strong discrete Morse theory.

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