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Organized collapse : an introduction to discrete Morse theory / Dmitry N. Kozlov.
Math/Physics/Astronomy Library QA612.14 .K69 2020
Available
- Format:
- Book
- Author/Creator:
- Kozlov, D. N. (Dmitriĭ Nikolaevich), author.
- Series:
- Graduate studies in mathematics ; v. 207.
- Graduate studies in mathematics, 1065-7339 ; 207
- Language:
- English
- Subjects (All):
- Combinatorial topology.
- Morse theory.
- Homology theory.
- Homotopy theory.
- Physical Description:
- xxiii, 312 pages : illustrations ; 27 cm.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2020]
- Contents:
- The first steps
- Simplicial homology
- Beyond the simplicial setting
- Category of chain complexes
- Chain homotopy
- Connecting homomorphism
- Singular homology
- Cellular homology
- Simplicial collapses
- Organizing collapsing sequences
- Internal collapses and discrete Morse theory
- Explicit homology classes associated to critical cells
- The critical Morse complex
- Implications and variations
- Algebraic Morse theory
- Discrete Morse theory for posets
- Discrete Morse theory for CW complexes
- Discrete Morse theory and persistence.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 9781470457013
- 1470457016
- OCLC:
- 1157725342
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