<電子ブック>
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 |
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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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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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AMS ebooks | 9781470460082 |
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電子リソース |
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EB00196138 | ||
電子ブック | オンライン | 電子ブック |
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AMS ebooks | 9781470460082 |
|
電子リソース |
|
EB00196139 |