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夜雨聆风 > > 办公文件 > 尤承业《基础拓扑学讲义》PDF电子版+学习辅导与习题全解+笔记+课后习题答案

尤承业《基础拓扑学讲义》PDF电子版+学习辅导与习题全解+笔记+课后习题答案

当前时间： 2026-06-27 12:36:25 分类：办公文件 评论(0)
尤承业《基础拓扑学讲义》PDF电子版+学习辅导与习题全解+笔记+课后习题答案
今天分享的是

尤承业《基础拓扑学讲义》PDF电子版

注：本资源搜集于网络，仅供学习交流，严禁用于商业用途

内容简介：

尤承业《基础拓扑学讲义》是拓扑学的入门教材.内容包括点集拓扑与代数拓扑,重点介绍代数拓扑学中的基本概念、方法和应用,全书共分八章:拓扑空间的基本概念，紧致性和连通性,商空间与闭曲面,同伦与基本群,复叠空间,单纯同调及其应用,映射度与不动点等,每节配备了适量习题并在书末附有解答与提示.本书叙述深入浅出,例题丰富,论证严谨,重点突出;强调几何背景,注意培养学生的几何直观能力;方法新颖,特别是关于对径映射的映射度的计算颇具新意.本书把抽象理论与具体应用紧密结合,使学生得到抽象思维与逻辑推理能力的训练.
尤承业《基础拓扑学讲义》可作为综合大学、高等师范院校数学系的拓扑课教材,也可供有关的科技人员和拓扑学爱好者作为课外学习的入门读物.

目录：

第一章 拓扑空间与连续性

第二章 几个重要的拓扑性质

第三章 商空间与闭曲面

第四章 同伦与基本群

第五章 复叠空间

第六章 单纯同调群（上）

第七章 单纯同调群（下）

第八章 映射度与不动点

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  1. CONNECT:[ UseTime:0.000554s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000628s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000411s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000283s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000718s ]
  6. SELECT * FROM `set` [ RunTime:0.001836s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000640s ]
  8. SELECT * FROM `article` WHERE `id` = 668070 LIMIT 1 [ RunTime:0.006646s ]
  9. UPDATE `article` SET `lasttime` = 1782802302 WHERE `id` = 668070 [ RunTime:0.006855s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.001857s ]
  11. SELECT * FROM `article` WHERE `id` < 668070 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.006167s ]
  12. SELECT * FROM `article` WHERE `id` > 668070 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.002042s ]
  13. SELECT * FROM `article` WHERE `id` < 668070 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.052980s ]
  14. SELECT * FROM `article` WHERE `id` < 668070 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.015915s ]
  15. SELECT * FROM `article` WHERE `id` < 668070 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.005318s ]
0.231518s