点击选择搜索分类
首页 - 法律- 正文
☆☆☆☆☆
||
[德] 亚尼齐 著
出版社: 世界图书出版公司 ISBN:9787510040641 版次:1 商品编码:10914322 包装:平装 外文名称:Topology 开本:24开 出版时间:2012-01-01 用纸:胶版纸 页数:192 正文语种:英文
1.what is point-set topology about?
2.origin and beginnings
Chapter Ⅰ fundamental concepts
1.the concept of a topological space
2.metric spaces
3.subspaces, disjoint unions and products
4.rases and subbases
5.continuous maps
6.connectedness
7.the hausdorff separation axiom
8.compactness
Chapter Ⅱ topological vector spaces
1.the notion of a topological vector space
2.finite-dimensional vector spaces
3.hilbert spaces
4.banach spaces
5.frechet spaces
6.locally convex topological vector spaces
7.a couple of examples
Chapter Ⅲ the quotient topology
1.the notion of a quotient space
2.quotients and maps
3.properties of quotient spaces
4.examples: homogeneous spaces
5.examples: orbit spaces
6.examples: collapsing a subspace to a point
7.examples: gluing topological spaces together
Chapter Ⅳ completion of metric spaces
1.the completion of a metric space
2.completion of a map
3.completion of normed spaces
Chapter Ⅴ homotopy
1.homotopic maps
2.homotopy equivalence
3.examples
4.categories
5.functors
6.what is algebraic topology?
7.homotopy--what for?
Chapter Ⅵ the two countability axioms
1.first and second countability axioms
2.infinite products
3.the role of the countability axioms
Chapter Ⅶ cw-complexes
1.simplicial complexes
2.cell decompositions
3.the notion of a cw-complex
4.subcomplexes
5.cell attaching
6.why cw-complexes are more flexible
7.yes, but...?
Chapter Ⅷ construction of continuous functions on topological spaces
1.the urysohn lemma
2.the proof of the urysohn lemma
3.the tietze extension lemma
4.partitions of unity and vector bundle sections
5.paracompactness
Chapter Ⅸ covering spaces
1.topological spaces over x
2.the concept of a covering space
3.path lifting
4.introduction to the classification of covering spaces
5.fundamental group and lifting behavior
6.the classification of covering spaces
7.covering transformations and universal cover
8.the role of covering spaces in mathematics
Chapter Ⅹ the theorem of tychonoff
1.an unlikely theorem?
2.what is it good for?
3.the proof
last Chapter
set theory (by theodor br6cker)
references
table of symbols
index
拓扑学 [Topology] 电子书 下载 mobi epub pdf txt
拓扑学 [Topology]-so88
拓扑学 [Topology] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[德] 亚尼齐 著
出版社: 世界图书出版公司 ISBN:9787510040641 版次:1 商品编码:10914322 包装:平装 外文名称:Topology 开本:24开 出版时间:2012-01-01 用纸:胶版纸 页数:192 正文语种:英文
内容简介
This volume covers approximately the amount of point-set topology that a student who does not intend to specialize in the field should nevertheless know.This is not a whole lot, and in condensed form would occupy perhaps only a small booklet. Our aim, however, was not economy of words, but a lively presentation of the ideas involved, an appeal to intuition in both the immediate and the higher meanings.内页插图
目录
Introduction1.what is point-set topology about?
2.origin and beginnings
Chapter Ⅰ fundamental concepts
1.the concept of a topological space
2.metric spaces
3.subspaces, disjoint unions and products
4.rases and subbases
5.continuous maps
6.connectedness
7.the hausdorff separation axiom
8.compactness
Chapter Ⅱ topological vector spaces
1.the notion of a topological vector space
2.finite-dimensional vector spaces
3.hilbert spaces
4.banach spaces
5.frechet spaces
6.locally convex topological vector spaces
7.a couple of examples
Chapter Ⅲ the quotient topology
1.the notion of a quotient space
2.quotients and maps
3.properties of quotient spaces
4.examples: homogeneous spaces
5.examples: orbit spaces
6.examples: collapsing a subspace to a point
7.examples: gluing topological spaces together
Chapter Ⅳ completion of metric spaces
1.the completion of a metric space
2.completion of a map
3.completion of normed spaces
Chapter Ⅴ homotopy
1.homotopic maps
2.homotopy equivalence
3.examples
4.categories
5.functors
6.what is algebraic topology?
7.homotopy--what for?
Chapter Ⅵ the two countability axioms
1.first and second countability axioms
2.infinite products
3.the role of the countability axioms
Chapter Ⅶ cw-complexes
1.simplicial complexes
2.cell decompositions
3.the notion of a cw-complex
4.subcomplexes
5.cell attaching
6.why cw-complexes are more flexible
7.yes, but...?
Chapter Ⅷ construction of continuous functions on topological spaces
1.the urysohn lemma
2.the proof of the urysohn lemma
3.the tietze extension lemma
4.partitions of unity and vector bundle sections
5.paracompactness
Chapter Ⅸ covering spaces
1.topological spaces over x
2.the concept of a covering space
3.path lifting
4.introduction to the classification of covering spaces
5.fundamental group and lifting behavior
6.the classification of covering spaces
7.covering transformations and universal cover
8.the role of covering spaces in mathematics
Chapter Ⅹ the theorem of tychonoff
1.an unlikely theorem?
2.what is it good for?
3.the proof
last Chapter
set theory (by theodor br6cker)
references
table of symbols
index
前言/序言
拓扑学 [Topology] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 彩泥大全-儿童益智学画
- 古币文编
- 动物探索1(英语科普阅读系列)
- 华为员工培训读本系列:华为细节管理法
- 正版 科技未来
- 阿里巴巴人力资源管理
- 爱做梦的爱因斯坦 (韩)宋恩英,(韩)申英宇 绘,张晟,牧华
- 《周礼正义》点校考订
- 矿物与岩石图鉴 9787553765747
- 马化腾内部讲话:最新版
- BF-公平获取可持续发展-关于对气候变化科学认知的报告-基础四国专家组 知识产权出版社 9
- 魏晋有美男 宋朝好声音 唐朝有嘻哈 历史的荷尔蒙 全套4册 历史趣味科普 文学历史小说 古人很潮
- 正版 穿越宇宙的秘密小径 9787535775030 (美) 切特·瑞默著 湖南科技出版社
- 团队协作的五大障碍 [The Five Dysfunctions of a Team]
- 水知道答案