多様体の分割 Decompositions of Manifolds (Ams Chelsea Publishing) （illustrated）

Daverman, Robert J.

American Mathematical Society（2007/09発売）

• 製本 Hardcover:ハードカバー版／ページ数 362 p.
• 言語 ENG
• 商品コード 9780821843727
• DDC分類 516.07

基本説明

Helps students interested in geometric topology to bridge the gap between entry-level graduate courses and research at the frontier as well as to demonstrate interrelations of decomposition theory with other parts of geometric topology.

Full Description

Decomposition theory studies decompositions, or partitions, of manifolds into simple pieces, usually cell-like sets. Since its inception in 1929, the subject has become an important tool in geometric topology. The main goal of the book is to help students interested in geometric topology to bridge the gap between entry-level graduate courses and research at the frontier as well as to demonstrate interrelations of decomposition theory with other parts of geometric topology. With numerous exercises and problems, many of them quite challenging, the book continues to be strongly recommended to everyone who is interested in this subject. The book also contains an extensive bibliography and a useful index of key words, so it can also serve as a reference to a specialist.

Contents

Introduction Preliminaries The shrinkability criterion Cell-like decompositions of absolute neighborhood retracts The cell-like approximation theorem Shrinkable decompositions Nonshrinkable decompositions Applications to manifolds References Index.