Last Updated
:2025/11/23
open set
Noun
Japanese Meaning
トポロジーにおける「開集合」とは、任意の点からどの方向に微小な移動をしても、その点が所属する集合の内部に留まる性質を持つ集合を指し、境界を含まない円などが例として挙げられる。
Sense(1)
Sense(2)
Sense(3)
( plural )
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(topology) Informally, a set such that the target point of a movement by a small amount in any direction from any point in the set is still in the set; exemplified by a full circle without its boundary.
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open set
In topology, an open set is a collection of points such that every point has a neighborhood entirely contained within the collection.
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In topology, an open set is a collection of points such that every point has a neighborhood entirely contained within the collection.
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