A_Topological_Picturebook-Francis.pdf

George K. Francis

A Topological

Picturebook

George K. Francis

A Topological Picturebook

With 87 I1Iustrations

Springer-Verlag

New York Berlin Heidelberg

London Paris Tokyo

Francis

Department of Mathematics

University of Illinois at

Urbana-Champaign

Urbana, IL

61801

The cover illustration is a

photograph of a drawing on a blackboard.

AMS Classification: 54-0

51H05

Library of Congress Cataloging in Publication Data

Francis, George

A topological picture book.

Bibliography: p.

Includes index.

Topology-Graphic methods. I. Title.

A611.F69 1987 514 86-3140

1987 by Springer-Verlag New York Inc.

All "rights reserved. This work may not be translated or copied in whole or in part without the

written permission of the publisher (Springer-Verlag, 175 Fifth Avenue, New York, New York

1010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use

in connection with any form of information storage and retrieval, electronic adapation, computer

sotware, or by similar or dissimilar methodology now known or hereater developed is forbidden.

The use of general descriptive names, trade names, trademarks, etc. in this publication, even

if the former are not especially identified, is not to be taken as a sign that such names, as

understood by Trade Marks and Merchandise Marks Act, may accordingly be used freely by

anyone.

Printed and bound by

R.R.

Donnelley

Sons, Harrisonburg, Virginia.

Printed in the United States of America.

9 8

7 6 5 4 3 2 2nd printing,

1988

ISBN 0-387-96426-6 Springer-Verlag New York Berlin Heidelberg

ISBN 3-540-96426-6 Springer-Verlag Berlin Heidelberg New York

George

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