拓扑词汇对照

ilikenba

拓扑
7 J. q; b# f  |( f: B: n　拓扑　topology
　　　・ 相对拓扑　relative topology
　　　・ 弱拓扑　weak topology
% |7 f" a' W! X- Z　　　・ 离散拓扑　discrete topology
% Z/ m1 E" S6 g. ]　扩张　extension
　限制　restriction
　分离公理　separation axiom
& [' @" }" [+ m, s　求和公理　axiom of countability
　可数集合　countable set
　范数　norm
5 T7 G$ ~1 I: w" K6 i/ h# E　距离　metric, distance
. K( t' [. f7 R8 {( y1 W2 O% m+ I　距离空间　metric space
, o# W, h( y) H2 }& d3 \　收敛　converge
$ v6 T7 ?- w- ?- @/ O, c　　　・ 一致收敛　uniform（ly）
, D" J, A6 Q+ w2 z4 l) L　　　・ 逐点收敛　pointwise
9 _( w7 o: k3 }% ]: n( ~4 ?; G# j　发散　diverge
　闭集合　closed set
1 e" ^9 `4 ]$ p　开集合　open set
　闭包　closure
　极限点　point of closure
0 P7 u6 {- p, `7 S# F　内点　inner point
　邻域　neighborhood
　过滤器　filter
4 r4 n" C+ d# D8 i* I8 I- Q! w　局部　locally
1 z8 @. x7 J0 l' M  @1 K3 R　极限　limit
8 R: e: @& \4 r* P; b　基本列　fundamental sequence
　Cauchy列　Cauchy sequence
* B$ I' S) I# h- m6 t" \　子列　subsequence
　连续　continuous
　　　・ 一致连续　uniformly continuous
- d" E1 i8 k0 ]3 H2 @4 {　　　・ 同等连续　equicontinuous
' R# j, b( W8 r7 A2 E- p/ H: u　紧　compact
( E7 N% S; V8 x/ r　紧化　compactification
$ k7 H2 J, z* z- ?8 ~6 U　有限交性　finite intersection property
　有限覆盖　finite covering
6 V! R. E( J; E/ B: Z+ L3 J　一致　uniformly
2 x. b, e2 U  i. E. R8 H( F　完备　complete
. }1 {5 e4 ]1 ~. \. O  t　上界　upper bound
　下界　lower bound
: X; d4 d( K6 q  Z; ~' A　有界　bounded
　全有界　totally bounded
　上限　least upper bound(L.U.B.), supremum (sup)
/ R+ B: E4 l! d4 s% b　下限　greatest lower bound(G.L.B.), infimum (inf)
　稠密　dense
: u$ s  b0 f9 q9 s. A7 G( v　可分　separable
　连接　connected
　Hilbert空间　Hilbert space
" L8 x8 t7 m7 @5 L5 k) T  n　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

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