拓扑词汇对照

ilikenba

拓扑
　拓扑　topology
　　　・ 相对拓扑　relative topology
: E8 w! c' T5 a" D* ?　　　・ 弱拓扑　weak topology
1 {& W! @6 q! F/ _. b9 E　　　・ 离散拓扑　discrete topology
2 N9 A6 ~) y) T+ Y4 c: H9 ?* ?- M　扩张　extension
　限制　restriction
　分离公理　separation axiom
3 Z+ y! ^6 T( ~. y- I6 N　求和公理　axiom of countability
8 d1 v, ^+ P% w# p( t, `　可数集合　countable set
# K! M1 ^! S2 A) t5 }: W* {　范数　norm
: Z. P, r( Z; v' k& x5 `1 I  y　距离　metric, distance
# p; Y; o9 U- H# t- n　距离空间　metric space
2 ?( n9 m3 b' \3 c. o　收敛　converge
　　　・ 一致收敛　uniform（ly）
/ F4 c# x8 f, U/ \  j　　　・ 逐点收敛　pointwise
6 X, i' \) \) z6 u　发散　diverge
- p" w/ c% _4 d. S5 P7 g# [　闭集合　closed set
4 F: j8 N3 R1 x' j. I, K　开集合　open set
　闭包　closure
' r. L: ?/ g2 P2 w2 s　极限点　point of closure
　内点　inner point
9 o) f: F% N+ B' f. i4 o  N1 J　邻域　neighborhood
6 h. P5 W; t, b% L! k- y, o8 L　过滤器　filter
　局部　locally
　极限　limit
# {$ E5 O. p. T* `- q- Z( B　基本列　fundamental sequence
4 ^# K* k  L( i2 }, [' c　Cauchy列　Cauchy sequence
　子列　subsequence
　连续　continuous
) r# N( k! D" v. ?$ Z) [2 N　　　・ 一致连续　uniformly continuous
* y% W) X) z" F  O: S/ I　　　・ 同等连续　equicontinuous
　紧　compact
　紧化　compactification
　有限交性　finite intersection property
　有限覆盖　finite covering
　一致　uniformly
8 H& z! p  `! @8 u　完备　complete
3 N( p( v; P6 M1 G& f% q　上界　upper bound
( A, e0 f( m3 D0 @　下界　lower bound
$ S5 Y4 a* J: u1 z0 |　有界　bounded
　全有界　totally bounded
　上限　least upper bound(L.U.B.), supremum (sup)
. r, T6 `; U' }- _; s/ M　下限　greatest lower bound(G.L.B.), infimum (inf)
　稠密　dense
　可分　separable
　连接　connected
+ H. ^4 D( Y3 Q7 a9 W　Hilbert空间　Hilbert space
　Banach空间　Banach space
4 w: ~' v5 y  a0 Z, C! V" y. j- F　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