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Catalogue Information
Field name	Details
Dewey Class	514/.2
Title	Organized collapse : ([EBook] ) : an introduction to discrete Morse theory / / Dmitry N. Kozlov.
Author	Kozlov, D. N. author.
Publication	Providence, Rhode Island : : American Mathematical Society, , [2020]
Physical Details	1 online resource (pages cm.)
Series	Graduate studies in mathematics ; 207
ISBN	9781470460082 (online)
Contents note	The first steps: Simplicial homology: Beyond the simplicial setting: Category of chain complexes: Chain homotopy: Connecting homomorphism: Singular homology: Cellular homology: Suggested further reading for parts 1 and 2: 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: Suggested further reading for part 3: Algebraic Morse theory: Discrete Morse theory for posets: Discrete Morse theory for CW complexes: Disctrete Morse theory and persistence: Suggested further reading for part 4:
Mode of acces to digital resource	Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2021
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://www.ams.org/gsm/207
See Also	https://doi.org/10.1090/gsm/207
Links to Related Works	Subject References: Algebraic topology -- Applied homological algebra and category theory -- Simplicial sets and complexes . Combinatorial topology . Combinatorics -- Graph theory -- Factorization, matching, partitioning, covering . Global analysis, analysis on manifolds -- Variational problems in infinite-dimensional spaces -- Abstr . Homology theory . Homotopy theory . Manifolds and cell complexes -- PL-topology -- General topology of complexes . Manifolds and cell complexes -- PL-topology -- Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc . Manifolds and cell complexes -- Research exposition (monographs, survey articles) . Morse theory . Order, lattices, ordered algebraic structures -- Ordered sets -- Combinatorics of partially ordered sets . Authors: author . (Dmitriĭ Nikolaevich) . Kozlov, D. N. . Series: Graduate studies in mathematics . Classification: 514/.2 .

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Organized collapse : an introduction to discrete Morse theory /

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