Topological Persistence in Geometry and Analysis (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Serie
University Lecture Series
Utgivningsdatum
2020-06-30
Förlag
American Mathematical Society
ISBN
9781470454951

Topological Persistence in Geometry and Analysis

av Leonid Polterovich, Daniel Rosen, Karina Samvelyan, Jun Zhang
Häftad,  Engelska, 2020-06-30
711
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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 functions. The book is accessible to readers with a basic background in algebraic and differential topology.
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Leonid Polterovich, Daniel Rosen, Karina Samvelyan, Jun Zhang

Övrig information

Leonid Polterovich, Tel Aviv University, Israel. Daniel Rosen, Ruhr-Universitat Bochum, Germany. Karina Samvelyan, Tel Aviv University, Israel. Jun Zhang, Universite de Montreal, Canada.

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