Editorial Committe e Jerry L . Bon a Donal d S . Ornstei n Theodore W . Gameli n Leonar d L . Scot t (Chair ) 2000 Mathematics Subject Classification. Primar y 53A04 , 57-02 , 57M25 . Library of Congress Cataloging-in-Publication Dat a Arnol'd, V I . (Vladimi r Igorevich) . 1937 - Topological invariant s o f plan e curves and caustics/V. I . Arnold, p. cm . (Universit y lectur e series , ISS N 1047-3998 : v. 5) Includes bibliographica l reference s an d index . ISBN 0-8218-0308- 5 (acid-free ) 1. Curve s on surfaces. 2 . Knot theory . 3 . Hamiltonian systems . I . Title. II . Series: Universit y lecture serie s (Providence , R.I.) : v. 5. QA643.A76 199 4 94-1625 4 516.3'63—dc20 CI P Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s acting fo r them, ar e permitted t o mak e fai r us e of the material , suc h a s to cop y a chapter fo r us e in teachin g o r research . Permissio n i s grante d t o quot e brie f passage s from thi s publicatio n i n reviews, provide d th e customar y acknowledgmen t o f the source i s given . Republication, systemati c copying , o r multiple reproduction of any material i n this publicatio n is permitte d onl y unde r licens e fro m th e America n Mathematica l Society . Request s fo r suc h permission should be addressed to the Assistant to the Publisher, America n Mathematical Society , P. O. Bo x 6248 , Providence , Rhod e Islan d 02940-6248 . Request s ca n als o b e mad e b y e-mai l t o reprint-permissionOams.org. © Copyrigh t 199 4 b y th e America n Mathematica l Society . Al l rights reserved . The America n Mathematica l Societ y retain s al l rights except thos e grante d t o th e Unite d State s Government . Printed i n th e Unite d State s o f America . @ Th e pape r use d i n thi s boo k i s acid-fre e an d fall s withi n th e guideline s established t o ensur e permanenc e an d durability . This volum e wa s typese t b y th e autho r usin g AM$-T]iX. the America n Mathematica l Society' s Tg X macr o system . Visit th e AM S hom e pag e a t URL : http://www.ams.org / 10 9 8 7 6 5 4 3 0 5 04 0 3 02 0 1 0 0
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