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＜電子ブック＞
Topological persistence in geometry and analysis / Leonid Polterovich, Daniel Rosen, Karina Samvelyan, Jun Zhang
(University Lecture Series ; v. 74)

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	*Polterovich, Leonid 1963- author Rosen, Daniel 1980- author Samvelyan, Karina 1988- author Zhang, Jun 1988- author
件　名	LCSH:Algebraic topology LCSH:Homology theory LCSH:Combinatorial topology LCSH:Symplectic geometry LCSH:Mathematical analysis FREE:Algebraic topology -- Applied homological algebra and category theory [See also 18Gxx] -- None of the above, but in this section  全ての件名で検索 FREE:Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} -- Calculus on manifolds; nonlinear operators [See also 46Txx  全ての件名で検索 FREE:Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} -- Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]  全ての件名で検索
内容注記	Definition and first examples Barcodes Proof of the isometry theorem What can we read from a barcode? Applications of Rips complexes Topological function theory A concise introduction to symplectic geometry Hamiltonian persistence modules Symplectic persistence modules
一般注記	Includes bibliographical references and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2020 Mode of access : World Wide Web Description based on print version record HTTP:URL=https://www.ams.org/ulect/074 Information=Contents HTTP:URL=https://doi.org/10.1090/ulect/074 Information=Contents

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