3-manifolds

著者

書誌事項

3-manifolds

by John Hempel

（Annals of mathematics studies, no. 86）（Tokyo University international edition, no. 98）

Princeton University Press , University of Tokyo Press, 1976

  • : pbk

並立書誌 全1件

大学図書館所蔵 件 / 全36件

この図書・雑誌をさがす

注記

Bibliography: p. 185-191

Includes index

Some issues: Tokyo University international edition no. 97 (misprint?)

内容説明・目次

巻冊次

ISBN 9780691081786

内容説明

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 Poincare 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 The book contains several extensions of previously published results, some previously unpublished results, and many new proofs.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.
巻冊次

: pbk ISBN 9780691081830

内容説明

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 Poincare 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.

「Nielsen BookData」 より

関連文献： 2件中  1-2を表示

詳細情報

ページトップへ