Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.
Building on the foundations laid in the 1993 volume, Two-dimensional Homotopy and Combinatorial Group Theory, the editors bring together much remarkable progress that has since been made in the field. This book includes ample references to the 1993 volume, and a comprehensive up-to-date bibliography.
Preface Wolfgang Metzler and Stephan Rosebrock; List of contributors; 1. A survey of recent progress on some problems in 2-dimensional topology Jens Harlander; Appendix: geometric realization for algebraic 2-complexes with finite fundamental group F. Rudolf Beyl and Jens Harlander; 2. Further results concerning the Andrews-Curtis conjecture and its generalizations Cynthia Hog-Angeloni and Wolfgang Metzler; 3. Aspects of TQFT and computational algebra Holger Kaden and Simon King; 4. Labelled oriented trees and the Whitehead conjecture Stephan Rosebrock and Jens Harlander; 5. 2-complexes and 3-manifolds Janina Glock, Cynthia Hog-Angeloni and Sergei Matveev; 6. The relation gap problem Jens Harlander; 7. On the relation gap problem for free products Cynthia Hog-Angeloni and Wolfgang Metzler; References; Index; Erratum.