拓扑词汇对照

ilikenba

拓扑
　拓扑　topology
# ~) H4 c0 z- }: w! m  B　　　・ 相对拓扑　relative topology
　　　・ 弱拓扑　weak topology
　　　・ 离散拓扑　discrete topology
　扩张　extension
! K( ~0 F! |; Y9 |. a+ ?　限制　restriction
# g0 u+ B. g2 B! P$ J8 J7 I& s: X　分离公理　separation axiom
, y& @5 {: O; z6 {6 a& r) [- K　求和公理　axiom of countability
　可数集合　countable set
　范数　norm
　距离　metric, distance
( H. A7 g2 P* I　距离空间　metric space
" l4 A4 l7 F% Y7 _, [: d/ D- i1 m　收敛　converge
　　　・ 一致收敛　uniform（ly）
9 c3 F& w. t. D' x! C" {% P. b　　　・ 逐点收敛　pointwise
! k/ a" m  C6 d. j　发散　diverge
5 d' ?0 [  J* i% r　闭集合　closed set
0 z4 D. I) h6 ~0 M" |1 T& }- `　开集合　open set
　闭包　closure
　极限点　point of closure
7 }  i6 a7 `  c& r+ ~　内点　inner point
　邻域　neighborhood
　过滤器　filter
3 m# I% U6 \: v1 y" }2 V　局部　locally
; ^* k& j5 j7 J7 v% ^　极限　limit
0 r6 ]! Q) R+ N! F　基本列　fundamental sequence
' X* F! r" P: h　Cauchy列　Cauchy sequence
8 C, R* ~4 `/ J　子列　subsequence
3 E9 X5 @  U* I　连续　continuous
　　　・ 一致连续　uniformly continuous
1 t: v1 D% P. E8 `, B  u　　　・ 同等连续　equicontinuous
. j8 {' t4 n% `8 `$ h6 f# K  U　紧　compact
- _: c0 @4 X' g9 J( n8 j6 O　紧化　compactification
　有限交性　finite intersection property
) P. i& {& L/ r　有限覆盖　finite covering
7 w- {5 h! M. ^　一致　uniformly
# G# ~% c8 A0 Y) Y　完备　complete
% t9 G) G. K) \5 s　上界　upper bound
　下界　lower bound
- f+ t4 ?5 i; e　有界　bounded
/ h% ~( F* n6 N  K　全有界　totally bounded
　上限　least upper bound(L.U.B.), supremum (sup)
　下限　greatest lower bound(G.L.B.), infimum (inf)
　稠密　dense
) x4 V7 x; N, C2 b# |# f　可分　separable
/ Y# E0 R) p9 Y% f" V　连接　connected
　Hilbert空间　Hilbert space
　Banach空间　Banach space
　同胚　homeomorphic

chinamlh1

需要，谢谢楼主

lovecan

谢谢分享！

wsl3000666

谢谢楼主啦~

wsl3000666

谢谢分享
4 |; ^; d; I0 a, H

gssdzc

谢谢分享。。。。。

huaer

谢谢分享~~

qingfengbanlv

老师上课时，总是一个一个地告诉我们