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Two-Dimensional Homotopy and Combinatorial Group Theory

Contributor(s): Hog-Angeloni, Cynthia (Editor), Metzler, Wolfgang (Editor), Sieradski, Allan J (Editor)

ISBN: 9780521447003

Publisher: Cambridge University Press

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Pub Date: December 9, 1993

Dewey: 514.24

LCCN: 94176225

Lexile Code: 0000

Target Age Group: NA to NA

Physical Info: 0.89" H x 8.99" L x 6.04" W ( 1.20 lbs) 428 pages

BISAC Categories:

Mathematics | Geometry | General | Topology

Series: London Mathematical Society Lecture Note

Descriptions, Reviews, etc.

Description: 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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