An Invitation To Alexandrov Geometry

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    An Invitation to Alexandrov Geometry
    CAT(0) Spaces
    By: Stephanie Alexander; Vitali Kapovitch; Anton Petrunin
    Publisher:
    Springer
    Print ISBN: 9783030053116, 3030053113
    eText ISBN: 9783030053123, 3030053121
    Copyright year: 2019
    Format: EPUB
    Available from $ 69.99 USD
    SKU 9783030053123
    Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard–Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds.
     

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