Two Dimensional Homotopy And Combinatorial Group Theory
Download Two Dimensional Homotopy And Combinatorial Group Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Two Dimensional Homotopy And Combinatorial Group Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Two-Dimensional Homotopy and Combinatorial Group Theory
Author: Cynthia Hog-Angeloni
language: en
Publisher: Cambridge University Press
Release Date: 1993-12-09
Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers.
Advances in Two-Dimensional Homotopy and Combinatorial Group Theory
Author: Wolfgang Metzler
language: en
Publisher: Cambridge University Press
Release Date: 2018
Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.
Two-Dimensional Homotopy and Combinatorial Group Theory
This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory.