AlgebraicL-theoryandTopologicalManifolds(CambridgeTractsinMathematics)

AlgebraicL-theoryandTopologicalManifolds(CambridgeTractsinMathematics)

分享

作者: A. A. Ranicki 著

出版社: CambridgeUniversityPress

出版时间: 2008-01

ISBN: 9780521055215

定价: 594.90

装帧: 平装

页数: 372页

正文语种: 英语

分类: 外文古旧书>英文书>自然科学

This book presents a definitive account of the applications of the algebraic L-theory to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincaré duality space with a local quadratic structure in the chain homotopy type of the universal cover. The difference between the homotopy types of manifolds and Poincaré duality spaces is identified with the fibre of the algebraic L-theory assembly map, which passes from local to global quadratic duality structures on chain complexes. The algebraic L-theory assembly map is used to give a purely algebraic formulation of the Novikov conjectures on the homotopy invariance of the higher signatures; any other formulation necessarily factors through this one. The book is designed as an introduction to the subject, accessible to graduate students in topology; no previous acquaintance with surgery theory is assumed, and every algebraic concept is justified by its occurrence in topology.
内容简介:
This book presents a definitive account of the applications of the algebraic L-theory to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincaré duality space with a local quadratic structure in the chain homotopy type of the universal cover. The difference between the homotopy types of manifolds and Poincaré duality spaces is identified with the fibre of the algebraic L-theory assembly map, which passes from local to global quadratic duality structures on chain complexes. The algebraic L-theory assembly map is used to give a purely algebraic formulation of the Novikov conjectures on the homotopy invariance of the higher signatures; any other formulation necessarily factors through this one. The book is designed as an introduction to the subject, accessible to graduate students in topology; no previous acquaintance with surgery theory is assumed, and every algebraic concept is justified by its occurrence in topology.

查看详情

相关分类

Literature&Fiction文学与虚构 ScienceFiction&Fantasy科幻与玄幻 Romance浪漫小说 Mystery&Thrillers神秘与惊悚 Teens青少年读物 Biographies&Memoirs传记与自传 Comics&GraphicNovels动漫与绘画小说 ELT英语学习 Reference参考书 StandardTest标准考试 Business&Investing商业与投资 Self-Help励志自助

英文原版 Algebraic L-theory and Topological Manifolds 代数L理论与拓扑流形剑桥数学丛书系列英文版进口英语原版书籍书籍内容简介可联系客服查阅，查书找书开票同样可以联系客服

九五品

海文图书专营店

广东省广州市

平均发货8小时成功完成率94.92%

￥648.00

券

100减20

立即购买加入购物车不属于本条目
英文原版 Algebraic L-theory and Topological Manifolds 代数L理论与拓扑流形剑桥数学丛书系列英文版进口英语原版书籍书籍内容简介可联系客服查阅，查书找书开票同样可以联系客服

九五品

诚研图书专营店

广东省广州市

平均发货7小时成功完成率98.1%

￥648.00

券

100减20

立即购买加入购物车不属于本条目
英文原版 Algebraic L-theory and Topological Manifolds 代数L理论与拓扑流形剑桥数学丛书系列英文版进口英语原版书籍书籍内容简介可联系客服查阅，查书找书开票同样可以联系客服

九五品

瑞雅图书专营店

广东省广州市

平均发货7小时成功完成率96.77%

￥648.00

券

100减20

立即购买加入购物车不属于本条目
英文原版 Algebraic L-theory and Topological Manifolds 代数L理论与拓扑流形剑桥数学丛书系列英文版进口英语原版书籍书籍内容简介可联系客服查阅，查书找书开票同样可以联系客服

九五品

通博图书专营店

山东省济南市

平均发货7小时成功完成率98.21%

￥648.00

券

100减20

立即购买加入购物车不属于本条目