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＜E-Book＞
Organized collapse : an introduction to discrete Morse theory / Dmitry N. Kozlov
(Graduate Studies in Mathematics ; v. 207)

Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2020]
Size	1 online resource (pages cm.)
Authors	*Kozlov, D. N author
Subjects	LCSH:Combinatorial topology LCSH:Morse theory LCSH:Homology theory LCSH:Homotopy theory FREE:Manifolds and cell complexes -- PL-topology -- Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc  All Subject Search FREE:Combinatorics -- Graph theory -- Factorization, matching, partitioning, covering  All Subject Search FREE:Order, lattices, ordered algebraic structures -- Ordered sets -- Combinatorics of partially ordered sets  All Subject Search FREE:Algebraic topology -- Applied homological algebra and category theory -- Simplicial sets and complexes  All Subject Search FREE:Manifolds and cell complexes -- Research exposition (monographs, survey articles)  All Subject Search FREE:Manifolds and cell complexes -- PL-topology -- General topology of complexes  All Subject Search FREE:Global analysis, analysis on manifolds -- Variational problems in infinite-dimensional spaces -- Abstr  All Subject Search
Contents	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
Notes	Includes bibliographical references and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2021 Mode of access : World Wide Web Description based on print version record HTTP:URL=https://www.ams.org/gsm/207 Information=Contents HTTP:URL=https://doi.org/10.1090/gsm/207 Information=Contents

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