Topology and Combinatorial Group Theory : Proceedings of the Fall Foliage Topology Seminars Held in New Hampshire 1985-1988

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 Exciting Developments. Among The Many Techniques Disussed Are The Use Of Obstruction Groups To Distinguish Certain Exact Sequences And Several Graph Theoretic Techniques With Applications To The Theory Of Groups. From The Contents: T.w. Tucker: Some Topological Graph Theory For Topologists: A Sampler Of Covering Space Constructions -- C. Hog-angeloni: A Short Topological Proof Of Cohn's Theorem -- I.l. Anshel: On Two Relator Groups -- M. Arkowitz: When Is The Homotopy Set Äx,yÜ Infinite?- W.a. Bogley: Local Collapses For Diagrammatic Reducibility -- M. Frame, J. Hefferon: Fractal Dimensions Of Limt Sets Of Some Kleinian Groups. P. Latiolais (ed.). Includes Bibliographical References. Annotation 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 exciting developments. Among the many techniques disussed are the use of obstruction groups to distinguish certain exact sequences and several graph theoretic techniques with applications to the theory of groups