Topological persistence in geometry and analysis / Leonid Polterovich, Daniel Rosen, Karina Samvelyan, Jun Zhang.
The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a concise and self-contained introduction to persistence modules and focuses on their interactions with pure mathematics, bringing the reader to t...
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| Online Access: |
Full Text (via ProQuest) |
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| Main Authors: | , , , |
| Format: | eBook |
| Language: | English |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
[2020]
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| Series: | University lecture series (Providence, R.I.) ;
74. |
| Subjects: |
| Summary: | The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a concise and self-contained introduction to persistence modules and focuses on their interactions with pure mathematics, bringing the reader to the cutting edge of current research. In particular, the authors present applications of persistence to symplectic topology, including the geometry of symplectomorphism groups and embedding problems. Furthermore, they discuss topological function theory, which provides new insight into oscillation of. |
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| Physical Description: | 1 online resource (xi, 128 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and indexes. |
| ISBN: | 9781470456795 1470456796 |
| Source of Description, Etc. Note: | Description based on print version record. |