图书介绍
层论 第2版PDF|Epub|txt|kindle电子书版本网盘下载
- （美）布里登著 著
- 出版社： 北京;西安：世界图书出版公司
- ISBN：9787510004698
- 出版时间：2010
- 标注页数：504页
- 文件大小：20MB
- 文件页数：515页
- 主题词：上同调论－英文
PDF下载
下载说明
层论 第2版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。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
Ⅰ Sheaves and Presheaves1
1 Definitions1
2 Homomorphisms,subsheaves,and quotient sheaves8
3 Direct and inverse images12
4 Cohomomorphisms14
5 Algebraic constructions16
6 Supports21
7 Classical cohomology theories24
Exercises30
Ⅱ Sheaf Cohomology33
1 Differential sheaves and resolutions34
2 The canonical resolution and sheaf cohomology36
3 Injective sheaves41
4 Acyclic sheaves46
5 Flabby sheaves47
6 Connected sequences of functors52
7 Axioms for cohomology and the cup product56
8 Maps of spaces61
9 Ф-soft and Ф-fine sheaves65
10 Subspaces71
11 The Vietoris mapping theorem and homotopy invariance75
12 Relative cohomology83
13 Mayer-Vietoris theorems94
14 Continuity100
15 The Künneth and universal coefficient theorems107
16 Dimension110
17 Local connectivity126
18 Change of supports;local cohomology groups134
19 The transfer homomorphism and the Smith sequences137
20 Steenrod's cyclic reduced powers148
21 The Steenrod operations162
Exercises169
Ⅲ Comparison with Other Cohomology Theories179
1 Singular cohomology179
2 Alexander-Spanier cohomology185
3 de Rham cohomology187
4 ？ech cohomology189
Exercises194
Ⅳ Applications of Spectral Sequences197
1 The spectral sequence of a differential sheaf198
2 The fundamental theorems of sheaves202
3 Direct image relative to a support family210
4 The Leray sheaf213
5 Extension of a support family by a family on the base space219
6 The Leray spectral sequence of a map221
7 Fiber bundles227
8 Dimension237
9 The spectral sequences of Borel and Cartan246
10 Characteristic classes251
11 The spectral sequence of a filtered differential sheaf257
12 The Fary spectral sequence262
13 Sphere bundles with singularities264
14 The Oliver transfer and the Conner conjecture267
Exercises275
Ⅴ Borel-Moore Homology279
1 Cosheaves281
2 The dual of a differential cosheaf289
3 Homology theory292
4 Maps of spaces299
5 Subspaces and relative homology303
6 The Vietoris theorem,homotopy,and covering spaces317
7 The homology sheaf of a map322
8 The basic spectral sequences324
9 Poincaré duality329
10 The cap product335
11 Intersection theory344
12 Uniqueness theorems349
13 Uniqueness theorems for maps and relative homology358
14 The Künneth formula364
15 Change of rings368
16 Generalized manifolds373
17 Locally homogeneous spaces392
18 Homological fibrations and p-adic transformation groups394
19 The transfer homomorphism in homology403
20 Smith theory in homology407
Exercises411
Ⅵ Cosheaves and ？ech Homology417
1 Theory of cosheaves418
2 Local triviality420
3 Local isomorphisms421
4 ？ech homology424
5 The reflector428
6 Spectral sequences431
7 Coresolutions432
8 Relative ？ech homology434
9 Locally paracompact spaces438
10 Borel-Moore homology439
11 Modified Borel-Moore homology442
12 Singular homology443
13 Acyclic coverings445
14 Applications to maps446
Exercises448
A Spectral Sequences449
1 The spectral sequence of a filtered complex449
2 Double complexes451
3 Products453
4 Homomorphisms454
B Solutions to Selected Exercises455
Solutions for Chapter Ⅰ455
Solutions for Chapter Ⅱ459
Solutions for Chapter Ⅲ472
Solutions for Chapter Ⅳ473
Solutions for Chapter Ⅴ480
Solutions for Chapter Ⅵ486
Bibliography487
List of Symbols491
List of Selected Facts493
Index495