Difference between r1.5 and the current
@@ -1,4 +1,4 @@
'''개집합'''
'''열린집합, 개집합, open set'''
// from wpen
[[실직선,real_line]] 위의 [[열린구간,open_interval]]을 [[일반화,generalization]]한 개념임.
@@ -18,16 +18,27 @@
----
Twins:
[[WpSp:Open_set]]
= https://simple.wikipedia.org/wiki/Open_set
= https://ko.wikipedia.org/wiki/열린집합
https://mathworld.wolfram.com/OpenSet.html
= https://en.wikipedia.org/wiki/Open_set
MathWorld:OpenSet
= https://mathworld.wolfram.com/OpenSet.html
https://encyclopediaofmath.org/wiki/Open_set - ''in a topological space'' // [[위상공간,topological_space]]
https://librewiki.net/wiki/열린_집합
Ggl:"definition of open set"
Up: [[집합,set]]
[[열림,openness]]
[[열림,openness]]? or [[열림성,openness]]
----
Ggl:열린집합+닫힌집합
열린집합, 개집합, open set
// from mw
2차원에선 open set은 원판,disk,
3차원에선 open set은 공,ball.
open set의 complement(set_complement)은 닫힌집합,closed_set.
2차원에선 open set은 원판,disk,
3차원에선 open set은 공,ball.
open set의 complement(set_complement)은 닫힌집합,closed_set.
opp. 닫힌집합,closed_set
Twins:
ALSOIN 닫힌집합,closed_set ... 그럼 열린집합과_닫힌집합,open_and_closed_set 을 만들?
{
http://mathonline.wikidot.com/the-open-and-closed-sets-of-a-topological-space
{
http://mathonline.wikidot.com/the-open-and-closed-sets-of-a-topological-space
limit_point = https://en.wiktionary.org/wiki/limit_point#Englishhttps://mathworld.wolfram.com/LimitPoint.html
![[https]](/wiki/imgs/https.png)
수학백과: 극한점https://encyclopediaofmath.org/wiki/Limit_point_of_a_set
Limit_point redir to Accumulation_point
극한점 
극한점 
limit_point 극한점}accumulation_point accumulation_point =,accumulation_point . accumulation_point {
accumulation point
집적점
accumulation_point =,accumulation_point . accumulation_point {accumulation point
집적점
accumulation_point = https://en.wiktionary.org/wiki/accumulation_point위상 해석 모두에서 cluster_point limit_point 와 동의어라 함
limit_point = https://en.wiktionary.org/wiki/limit_point#English에서는 "(point whose every neighborhood contains a point in a given subset):"
https://en.wikipedia.org/wiki/Accumulation_pointhttps://mathworld.wolfram.com/AccumulationPoint.html
https://encyclopediaofmath.org/wiki/Accumulation_point
Sub: complete_accumulation_point =,complete_accumulation_point . complete_accumulation_point { complete accumulation point complete_accumulation_point https://encyclopediaofmath.org/wiki/Complete_accumulation_point Up: 완비성,completeness? }
complete_accumulation_point https://encyclopediaofmath.org/wiki/Complete_accumulation_point Up: 완비성,completeness? }집적점 집적점 집적점 accumulation_point 집적점 } // 위상에서 이 둘은 동의어? chkclopen_set clopen_set =,clopen_set . clopen_set { 닫힌집합,closed_set ...
clopen_set https://en.citizendium.org/wiki/Clopen_set (한줄 short)https://proofwiki.org/wiki/Definition:Clopen_Set
Clopen_sethttps://encyclopediaofmath.org/wiki/Open-closed_set
clopen set}
