Hidden Bibliographic Details
| Other authors / contributors: | Hog-Angeloni, Cynthia.
Metzler, W. (Wolfgang)
Sieradski, Allan J.
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| ISBN: | 9781107361935
1107361931
9780511629358
0511629354
0521447003
9780521447003
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| Notes: | Includes bibliographical references (pages 381-407) and index.
Print version record.
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| Summary: | 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.
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| Other form: | Print version: Two-dimensional homotopy and combinatorial group theory. Cambridge ; New York, NY : Cambridge University Press, 1993 0521447003
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