Two-Dimensional Homotopy and Combinatorial Group Theory by Allan J. ...

Two-Dimensional Homotopy and Combinatorial Group TheoryAuthor(s): Cynthia Hog-Angeloni, Wolfgang Metzler, Allan J. Sieradski\nFormat: Paperback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521447003, 978-0521447003\nSynopsis\nBasic 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- an.