Topology and Combinatorial Group Theory Proceedings of the Fall Foli
This book demonstrates the lively interaction between algebraic topology, very low dimensional topology and combinatorial group theory. Many of the ideas presented are still in their infancy, and it is hoped that the work here will spur others to new and
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1440 R Latiolais (Ed.)
Topology and Combinatorial Group Theory Proceedings of the Fall Foliage Topology Seminars held in New Hampshire 1986-1988
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona
Editor
Paul Latiolais Department of Mathematical Sciences Portland State University Portland, OR 97207, USA
Mathematics Subject Classification (1980): 57 ISBN 3-540-52990·X Springer-Verlag Berlin Heidelberg New York ISBN 0-387-52990-X Springer-Verlag New York Berlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its current version, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law.
© Springer-Verlag Berlin Heidelberg 1990 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210 - Printed on acid-free paper
PREFACE
This book is a testimony to the lively activity and interaction among the areas of one and two-dimensional topology, algebraic topology, and combinatorial group theory. This book is not a book of completed research. It is more a book of ideas. Many of the ideas presented here are still in their infancy. It is hoped and expected that the work here will spur the authors here and others to new exciting developments. The First Fall Foliage Topology Seminar was held at Dartmouth College in 1985 as a way to increase contact between the Dartmouth topologists and topologists in the area. The conference was patterned after Doug Anderson's very successful Upstate New York Topology Seminar at Syracuse University. First Fall Foliage Topology Seminar was so successful that it was repeated in 1987 and 1988. Since the 1988 Fall Foliage Topology Seminar was to be the last, it was upgraded to a more international conference. The Last Fall Foliage Topology Conference was so successful, the site had to be changed from the wonderfully rustic Moosilauke Ravine Lodge at the base of Mount Moosilauke, to the Shaker Village Inn, near Enfield, New Hampshire. This book is proof of the success of that last conference. I would like to thank the following people: John McCleary for His help in organizing the Fall Foliage Conferences and help in editing this manuscript; Doug Anderson and Marshall Cohen for their constructive ideas and help in the development of the structure of the Fall Foliage Conferences. Reese and Nancy Prosser for the use of their home and their help; Dorothy Andreoli, Martin Arkowitz, Ed Brown, John Finn, Dennis Healy, Greg Lupton and other members of the Dartmouth Mathematics and Computer Science Department who shared their homes with conference participants; Janice Thompson for her excellent adm
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