Dense-in-itself
In general topology, a subset of a topological space is said to be dense-in-itself or crowdedif has no isolated point.Equivalently, is dense-in-itself if every point of is a limit point of .Thus is dense-in-itself if and only if , where is the derived set of . A dense-in-itself closed set is called a perfect set. (In other words, a perfect set is a closed set without isolated point.) The notion of dense set is unrelated to dense-in-itself. This can sometimes be confusing, as "X is dense in X" (always true) is not the same as "X is dense-in-itself" (no isolated point).
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Dense-in-itself
In general topology, a subset of a topological space is said to be dense-in-itself or crowdedif has no isolated point.Equivalently, is dense-in-itself if every point of is a limit point of .Thus is dense-in-itself if and only if , where is the derived set of . A dense-in-itself closed set is called a perfect set. (In other words, a perfect set is a closed set without isolated point.) The notion of dense set is unrelated to dense-in-itself. This can sometimes be confusing, as "X is dense in X" (always true) is not the same as "X is dense-in-itself" (no isolated point).
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In general topology, a subset ...... n-itself" (no isolated point).
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Zbiór wszędzie gęsty lub zbiór ...... ym jest również zbiór Cantora.
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في الرياضيات، يطلق على المجموع ...... ذاتها و / أو النقاط المعزولة.
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일반위상수학에서, 자기 조밀 공간(自己稠密空間, 영어: dense-in-itself space)은 고립점을 갖지 않는 위상 공간이다.
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Dense in-itself
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In general topology, a subset ...... n-itself" (no isolated point).
@en
Zbiór wszędzie gęsty lub zbiór ...... lidesowej jest wszędzie gęsty.
@pl
في الرياضيات، يطلق على المجموع ...... في إلا أنها مكثفة في حد ذاتها.
@ar
일반위상수학에서, 자기 조밀 공간(自己稠密空間, 영어: dense-in-itself space)은 고립점을 갖지 않는 위상 공간이다.
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Dense-in-itself
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Zbiór wszędzie gęsty
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مجموعة مكثفة في حد ذاتها
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자기 조밀 공간
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