Persistence Theory

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Persistence Theory: From Quiver Representations to Data Analysis
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Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of t
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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 conc
Cyber Persistence Theory
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"In 'Cyber Persistence Theory', Michael P. Fischerkeller, Emily O. Goldman, and Richard J. Harknett argue that this current theory only works well in the cyber
The Structure and Stability of Persistence Modules
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This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure