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中译版书籍链接https://pan.baidu.com/s/1wrvR9Zanh3jFa3_cvjG3uQ?pwd=dpo7提取码dpo7 书库链接https://pan.baidu.com/s/18roDMZRXVMPrLpQJHiLQiw?pwd=etfp提取码etfp 编辑于 2024-05-31 00:06・IP 属地广东 拓扑学 微分拓扑 代数拓扑
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拓扑学 Topology (中文版)二版 _James Munkres.pdf 热度: 点集拓扑学教案 热度: 拓扑学发展史 热度: Contents Preface...vii ... ANotetotheReader...xi PartIGENERALTOPOLOGY Chapter1SetTheoryandLogic... 3 1FundamentalConcepts... 4 2Functions...15 L,....
Denoting the functions as 3-tuples, then they are: (1,2,3)(1,2,4)(1,3,2)(1,3,4)(1,4,2)(1,4,3)(2,1,3)(2,1,4)(2,3,1)(2,3,4)(2,4,1)(2,4,3)(3,1,2)(3,1,4)(3,2,1)(3,2,4)(3,4,1)(3,4,2)(4,1,2)(4,1,3)(4,2,1)(4,2,3)(4,3,1)...
Therefore, the two metrics generate the same topology. CommentIt can be seen that when a certain open ball radius is given, the larger the metric being defined, the smaller the open ball in the sense of set inclusion or cardinality.
Topology——James. R. Munkres 物理生业余学学数学陶冶情操? 嗯...
Theorem 20.4The uniform topology onRJRJis finer than the product topology and coarser than the box topology; these three topologies are all different ifJJis infinite. Proof:a) Prove the uniform topology is finer than the product topology. ...
. xi Part I GENERAL TOPOLOGY Chapter 1 Set Theory and Logic . . . . . . . . . . . . . . . . . . . . . . . 3 1 Fundamental Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2 Functions.. . . . . . . . . . . . . . . ....