Last Updated
:2025/11/24
perfect set
Noun
Japanese Meaning
完全集合:集合内のすべての点が極限点であり、その極限点の集合と一致する集合。 / 解析学において、各点が近傍内に他の点を持つ点のみから構成される集合。 / すなわち、その集合の全ての点が極限点であるため、極限点集合と集合自体が一致する集合。
( plural )
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(mathematical analysis) A set which is equal to its set of limit points. That is, a set A is perfect if A'=A.
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perfect set
The Cantor set is a classic example of a perfect set that is nowhere dense yet uncountable.
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The Cantor set is a classic example of a perfect set that is nowhere dense yet uncountable.
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