"Sinopsis" puede pertenecer a otra edición de este libro.
This work treats the topological classification of 3-dimensional manifolds. Its unifying theme is the role of the fundamental group in determining the structure of a 3-manifold, and its purpose is to organize the subject around this theme. The reader is assumed to have some knowledge of algebraic topology and group theory.
The book begins with a treatment of the piecewise linear techniques which are used throughout, proceeds with a development of the basic tools (Heegard splittings, connected sum decompositions, and the loop and sphere theorems), and then turns to the two major questions: (1) which groups occur as (M) for some 3-manifold M? and (2) how closely does (M) reflect the topological structure of M? The bulk of the work considers various aspects of these questions and culminates with the description of a class of 3-manifolds which are completely determined by their fundamental group systems. One chapter discusses the still unsettled Poincaré conjecture, and a final chapter examines some open questions which the author considers pertinent to further advances in the subject. The book contains several extensions of previously published results, some previously unpublished results, and many new proofs. It may be used as a text as "well as for reference purposes.
The Description for this book, 3 Manifolds. (AM-86), will be forthcoming.
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Descripción Paperback. Condición: Good. Entire book lightly creased, black marker on bottom edge, number stamped on half-title page, otherwise text clean and solid; AM-86; 9.06 X 6.06 X 0.53 inches; 208 pages. Nº de ref. del artículo: 213495
Descripción Very Good+; Softcover; Large 8vo 9" - 10" tall; Bright cover, tightly bound, fading on spine. Interior crisp, clean, unmarked.; Annals of Mathematics Studies Number 86 Series. Nº de ref. del artículo: 27603