An Invitation to Alexandrov Geometry CAT(0) Spaces
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
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Stephanie Alexander Vitali Kapovitch Anton Petrunin
An Invitation to Alexandrov Geometry CAT(0) Spaces
SpringerBriefs in Mathematics Series Editors Nicola Bellomo, Torino, Italy Michele Benzi, Pisa, Italy Palle Jorgensen, Iowa City, USA Tatsien Li, Shanghai, China Roderick Melnik, Waterloo, Canada Otmar Scherzer, Linz, Austria Benjamin Steinberg, New York City, USA Lothar Reichel, Kent, USA Yuri Tschinkel, New York City, USA George Yin, Detroit, USA Ping Zhang, Kalamazoo, USA
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Stephanie Alexander Vitali Kapovitch Anton Petrunin •
An Invitation to Alexandrov Geometry CAT(0) Spaces
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Stephanie Alexander Department of Mathematics University of Illinois Urbana, IL, USA
Anton Petrunin Department of Mathematics Pennsylvania State University University Park, PA, USA
Vitali Kapovitch Department of Mathematics University of Toronto Toronto, ON, Canada
ISSN 2191-8198 ISSN 2191-8201 (electronic) SpringerBriefs in Mathematics ISBN 978-3-030-05311-6 ISBN 978-3-030-05312-3 (eBook) https://doi.org/10.1007/978-3-030-05312-3 Library of Congress Control Number: 2018963986 Mathematics Subject Classification (2010): 53C23, 53C20, 53C45, 53C70, 97G10, 51F99, 51K10 © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company ad
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