书目名称 | Introduction to Topological Manifolds |
编辑 | John M. Lee |
视频video | http://file.papertrans.cn/475/474285/474285.mp4 |
概述 | New edition extensively revised and updated.New introduction to CW complexes (along with a brief and streamlined introduction to simplicial complexes).Expanded treatments of manifolds with boundary, l |
丛书名称 | Graduate Texts in Mathematics |
图书封面 |  |
描述 | .This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition..Although this second edition has the same basic structure as the first edition, it has been extensively revised and clarified; not a single page has been left untouched. The major changes include a new introduction to CW complexes (replacing most of the material on simplicial complexes in Chapter 5); expanded treatments of manifolds with boundary, local compactness, group actions, and proper maps; and a new section on paracompactness..This text is designed to be used for an introductory graduate course on the geometry and topology of manifolds. It should be accessible to any student who has completed a solid undergraduate degree in mathematics. The author’s book .Introduction to Smooth Manifolds .is meant to act as a sequel to this book. . |
出版日期 | Textbook 2011Latest edition |
关键词 | Cell complexes; Covering spaces; Homology; Surfaces; The fundamental group; Topological spaces; Topology |
版次 | 2 |
doi | https://doi.org/10.1007/978-1-4419-7940-7 |
isbn_softcover | 978-1-4614-2790-2 |
isbn_ebook | 978-1-4419-7940-7Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
issn_series | 0072-5285 |
copyright | Springer Science+Business Media, LLC 2011 |