Topological Persistence in Geometry and Analysis(English, Paperback, Polterovich Leonid)

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Topological Persistence in Geometry and Analysis(English, Paperback, Polterovich Leonid) is written by Polterovich Leonid and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 1470454955 (ISBN 10) and 9781470454951 (ISBN 13).

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.