Editorial Board Gerald B. Folland Robin Forman Brad G. Osgood (Chair) Michael Starbird Topographic data for illustration of Earth in Figure 1.12 is taken from the National Oceanic and Atmospheric Administration’s ETOPO2v2 data set, available at www.ngdc.noaa.gov. 2000 Mathematics Subject Classification. Primary 51–01, 53–01, 57N05 Secondary 53A05, 57R05. For additional information and updates on this book, visit www.ams.org/bookpages/stml-46 Library of Congress Cataloging-in-Publication Data Katok, A. B. Lectures on surfaces : (almost) everything you wanted to know about them / Anatole Katok, Vaughn Climenhaga. p. cm. (Student mathematical library v. 46) Includes bibliographical references and index. ISBN 978-0-8218-4679-7 (alk. paper) 1. Surfaces. I. Climenhaga, Vaughn, 1982– II. Title. QA571.K34 2008 516—dc22 2008029299 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Acquisitions Department, American Mathematical Society, 201 Charles Street, Providence, Rhode Island 02904- 2294, USA. Requests can also be made by e-mail to reprint-permission@ams.org. c 2008 by the American Mathematical Society. All rights reserved. The American Mathematical Society retains all rights except those granted to the United States Government. Printed in the United States of America. The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at http://www.ams.org/ 10 9 8 7 6 5 4 3 2 1 13 12 11 10 09 08
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