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This book gives an introduction to the mathematics and applications comprising the new field of applied topology. The elements of this subject are surveyed in t
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This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs o
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This monograph is based, in part, upon lectures given in the Princeton School of Engineering and Applied Science. It presupposes mainly an elementary knowledge
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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