拓撲學 [Topology]

拓撲學 [Topology] pdf epub mobi txt 電子書 下載 2025

[德] 亞尼齊 著
想要找書就要到 新城書站
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!
齣版社: 世界圖書齣版公司
ISBN:9787510040641
版次:1
商品編碼:10914322
包裝:平裝
外文名稱:Topology
開本:24開
齣版時間:2012-01-01
用紙:膠版紙
頁數:192
正文語種:英文

具體描述

內容簡介

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.

內頁插圖

目錄

Introduction
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

前言/序言



用戶評價

評分

UTM這個係列都很經典。

評分

這個作者的英語寫的真是太難讀瞭

評分

不錯,活動時買的,滿減後值瞭,以後還是要多關注京東的活動

評分

圖書質量很好,下次還會來買!

評分

評分

支持京東支持京東支持京東支持京東支持京東支持京東支持京東支持京東支持京東

評分

幫彆人買的估計還不錯

評分

英文譯本,翻瞭幾頁能讀下去

評分

還沒有看,留著慢慢看

相關圖書

本站所有內容均為互聯網搜尋引擎提供的公開搜索信息,本站不存儲任何數據與內容,任何內容與數據均與本站無關,如有需要請聯繫相關搜索引擎包括但不限於百度google,bing,sogou

© 2025 book.cndgn.com All Rights Reserved. 新城书站 版權所有