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

出版者 (Providence, Rhode Island : American Mathematical Society)
出版年 [2020]
大きさ 1 online resource (pages cm.)
著者標目 *Kozlov, D. N author
件 名 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  全ての件名で検索
FREE:Combinatorics -- Graph theory -- Factorization, matching, partitioning, covering  全ての件名で検索
FREE:Order, lattices, ordered algebraic structures -- Ordered sets -- Combinatorics of partially ordered sets  全ての件名で検索
FREE:Algebraic topology -- Applied homological algebra and category theory -- Simplicial sets and complexes  全ての件名で検索
FREE:Manifolds and cell complexes -- Research exposition (monographs, survey articles)  全ての件名で検索
FREE:Manifolds and cell complexes -- PL-topology -- General topology of complexes  全ての件名で検索
FREE:Global analysis, analysis on manifolds -- Variational problems in infinite-dimensional spaces -- Abstr  全ての件名で検索
内容注記 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
一般注記 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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AMS ebooks 9781470460082
電子リソース
EB00196138
電子ブック オンライン 電子ブック

AMS ebooks 9781470460082
電子リソース
EB00196139

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データ種別 電子ブック
分 類 LCC:QA612.14
DC23:514/.2
書誌ID 4000141784
ISBN 9781470460082

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