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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