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Lexicographic order topology on the unit square : ウィキペディア英語版
Lexicographic order topology on the unit square
In general topology, the lexicographic ordering on the unit square is a topology on the unit square ''S'', i.e. on the set of points (''x'',''y'') in the plane such that and
== Construction ==
As the name suggests, we use the lexicographical ordering on the square to define a topology. Given two points in the square, say (''x'',''y'') and (''u'',''v''), we say that if and only if either or both and .
Given the lexicographical ordering on the square, we use the order topology to define the topology on ''S''.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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