拓扑词汇对照

ilikenba

拓扑
　拓扑　topology
　　　・ 相对拓扑　relative topology
  ^* s7 j& N6 A4 m( P　　　・ 弱拓扑　weak topology
　　　・ 离散拓扑　discrete topology
5 E- l& F4 w. ]  X　扩张　extension
　限制　restriction
　分离公理　separation axiom
0 d/ Q3 U+ Z+ q+ X　求和公理　axiom of countability
　可数集合　countable set
　范数　norm
　距离　metric, distance
　距离空间　metric space
/ B& g2 r0 S( A2 |2 l, b" J4 Q　收敛　converge
$ Y8 W% T$ a2 k　　　・ 一致收敛　uniform（ly）
　　　・ 逐点收敛　pointwise
+ Z5 Y. o9 N% c4 ]5 ~8 w$ A　发散　diverge
　闭集合　closed set
　开集合　open set
　闭包　closure
' o" j9 k) L5 g: O3 B+ b　极限点　point of closure
* V2 e* O. w1 |　内点　inner point
　邻域　neighborhood
) F5 Q/ `1 m1 N$ f, n. \) e4 Y1 h　过滤器　filter
　局部　locally
　极限　limit
: J/ _, o" t: [　基本列　fundamental sequence
, K' U' \7 G5 v  y1 o% b6 G( R　Cauchy列　Cauchy sequence
　子列　subsequence
　连续　continuous
' L3 K0 }+ v; m0 t5 ]& L　　　・ 一致连续　uniformly continuous
　　　・ 同等连续　equicontinuous
9 }" L& Z! c* p; g9 Q* B' Y　紧　compact
) I5 L4 f6 P2 J7 I　紧化　compactification
　有限交性　finite intersection property
　有限覆盖　finite covering
1 `& f/ B$ R" k7 L　一致　uniformly
　完备　complete
. l% A1 l2 M: C$ r- z" [1 V% M7 f0 [　上界　upper bound
　下界　lower bound
9 E# w3 w# P( S8 f+ \. Z! J/ e　有界　bounded
/ ^% T8 n7 x3 Y　全有界　totally bounded
　上限　least upper bound(L.U.B.), supremum (sup)
, y1 a* j& d0 N+ C6 Q　下限　greatest lower bound(G.L.B.), infimum (inf)
　稠密　dense
　可分　separable
　连接　connected
　Hilbert空间　Hilbert space
' {' Z2 b0 p. t5 Q' A' Y! ~　Banach空间　Banach space
　同胚　homeomorphic

qingfengbanlv

老师上课时，总是一个一个地告诉我们         

huaer

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gssdzc

谢谢分享。。。。。

wsl3000666

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wsl3000666

谢谢楼主啦~

lovecan

谢谢分享！

chinamlh1

需要，谢谢楼主