图书介绍

纤维丛拓扑学PDF|Epub|txt|kindle电子书版本下载

纤维丛拓扑学
  • （美）斯廷罗德（STEENROD，N.）著 著
  • 出版社： 世界图书出版公司北京公司
  • ISBN：7510029561
  • 出版时间：2011
  • 标注页数：229页
  • 文件大小：42MB
  • 文件页数：240页
  • 主题词：

PDF下载


点此进入-本书在线PDF格式电子书下载【推荐-云解压-方便快捷】直接下载PDF格式图书。移动端-PC端通用
种子下载[BT下载速度快]温馨提示：（请使用BT下载软件FDM进行下载）软件下载地址页直链下载[便捷但速度慢]  [在线试读本书]   [在线获取解压码]
点击复制MD5值：5eb33e33224e78c3fcbddb12f75357a4

下载说明

纤维丛拓扑学PDF格式电子书版下载

下载的文件为RAR压缩包。需要使用解压软件进行解压得到PDF格式图书。

点击复制85GB完整离线版磁力链接到迅雷FDM等BT下载工具进行下载  详情点击-查看共享计划
建议使用BT下载工具Free Download Manager进行下载,简称FDM(免费,没有广告,支持多平台）。本站资源全部打包为BT种子。所以需要使用专业的BT下载软件进行下载。如BitComet qBittorrent uTorrent等BT下载工具。迅雷目前由于本站不是热门资源。不推荐使用！后期资源热门了。安装了迅雷也可以迅雷进行下载！

（文件页数 要大于 标注页数，上中下等多册电子书除外）

注意：本站所有压缩包均有解压码： 点击下载压缩包解压工具

图书目录

Part Ⅰ．THE GENERAL THEORY OF BUNDLES3

1．Introduction3

2．Coordinate bundles and fibre bundles6

3．Construction of a bundle from coordinate transformations14

4．The product bundle16

5．The Ehresmann-Feldbau definition of bundle18

6．Differentiable manifolds and tensor bundles20

7．Factor spaces of groups28

8．The principal bundle and the principal map35

9．Associated bundles and relative bundles43

10．The induced bundle47

11．Homotopies of maps of bundles49

12．Construction of cross-sections54

13．Bundles having a totally disconnected group59

14．Covering spaces67

Part Ⅱ．THE HOMOTOPY THEORY OF BUNDLES72

15．Homotopy groups72

16．The operations of π1 on πn83

17．The homotopy sequence of a bundle90

18．The classification of bundles over the n-sphere96

19．Universal bundles and the classification theorem100

20．The fibering of spheres by spheres105

21．The homotopy groups of spheres110

22．Homotopy groups of the orthogonal groups114

23．A characteristic map for the bundle Rn+1 over Sn118

24．A characteristic map for the bundle Unover S2n-1124

25．The homotopy groups of miscellaneous manifolds131

26．Sphere bundles over spheres134

27．The tangent bundle of Sn140

28．On the non-existence of fiberings of spheres by spheres144

Part Ⅲ．THE COHOMOLOGY THEORY OF BUNDLES148

29．The stepwise extension of a cross-section148

30．Bundles of coefficients151

31．Cohomology groups based on a bundle of coefficients155

32．The obstruction cocycle166

33．The difference cochain169

34．Extension and deformation theorems174

35．The primary obstruction and the characteristic cohomology class177

36．The primary difference of two cross-sections181

37．Extensions of functions,and the homotopy classification of maps184

38．The Whitney characteristic classes of a sphere bundle190

39．The Stiefel characteristic classes of differentiable manifolds199

40．Quadratic forms on manifolds204

41．Complex analytic manifolds and exterior forms of degree 2209

Appendix218

Bibliography223

Index228

热门推荐