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Two-Dimensional Homotopy and Combinatorial Group Theory by Cynthia Hog-Angeloni, Wolfgang Metzler, Allan J. Sieradski

Two-Dimensional Homotopy and Combinatorial Group Theory

by Cynthia Hog-Angeloni , Wolfgang Metzler , Allan J. Sieradski
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Book cover type: Paperback
  • ISBN13: 9780521447003
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 428
  • Original Price: USD 79.0
  • Language: English
  • Edition: N/A
  • Item Weight: 545 grams
  • BISAC Subject(s): Geometry / General

The geometric and algebraic aspects of two-dimensional homotopy theory are both important areas of current research. Basic work on two-dimensional homotopy theory dates back to Reidemeister and Whitehead. The contributors to this book consider the current state of research beginning with introductory chapters on low-dimensional topology and covering crossmodules, Peiffer-Reid identities, and concretely discussing P2 theory. The chapters have been skillfully woven together to form a coherent picture, and the geometric nature of the subject is illustrated by over 100 diagrams. The final chapters round off neatly with a look at the present status of the conjectures of Zeeman, Whitehead and Andrews-Curtis.

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