Expository Lecture s from th e CBMS Regional Conferenc e held at the Virginia Polytechnic Institute and State Universit y October 8-12,197 7 1980 Mathematics Subject Classifications. Primar y 55A05, 55A10, 55A25, 55D10, 55E05, 57A10. Key words and phrases . 3-manifold , fundamenta l group , Loop Theorem , Sphere Theorem , connected sums , sufficiently-large, hierarchies , Seifert fibered, periphera l structure , annulu s theorem, torus theorem , homotopy equivalences . Library of Congress Cataloging in Publication Data Jaco, William, 1940 - Lectures o n three-manifol d topology . (Regional conferenc e serie s in mathematics no. 43) "Expository lecture s fro m th e CBM S regional conferenc e hel d a t th e Virginia Polytech - nic Institute an d Stat e University, October 8-12 , 1977. " Bibilography: p . Includes index . 1. Three-manifold s (Topology ) I . Conference Boar d o f th e Mathematica l Sciences . II. Title. III . Series. QALR33 no . 43 [QA613.2 ] 510 s [514\223 ] 79-2848 8 ISB N 0-8218-1693 4 Copyin g an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s actin g for them , ar e permitte d t o mak e fai r us e o f th e material , suc h a s t o cop y a chapte r fo r us e in teachin g o r research . Permissio n i s grante d t o quot e brie f passage s fro m thi s publicatio n i n reviews, provide d th e customar y acknowledgmen t o f th e sourc e i s given . Republication, systemati c copying , o r multipl e reproductio n o f any materia l i n this publicatio n (including abstracts ) i s permitte d onl y unde r licens e fro m th e America n Mathematica l Society . Requests fo r suc h permissio n shoul d b e addresse d t o th e Assistan t t o th e Publisher , America n Mathematical Society , P . O. Bo x 6248 , Providence , Rhod e Islan d 02940-6248 . Request s ca n als o be mad e b y e-mai l t o reprint-permissionQams.org . Copyright © 1980 by th e America n Mathematica l Societ y Reprinted wit h correction s 1997 . Printed i n th e Unite d State s o f Americ a All rights reserved except those granted to the United States Government. @ Th e pape r use d i n thi s boo k i s acid-free an d fall s withi n th e guideline s established t o ensur e permanenc e an d durability . 10 9 8 7 6 5 4 3 0 2 0 1 0 0 9 9 9 8 9 7
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