Last Updated:2025/11/25
Sentence

すべてのT1位相空間では、単点集合が閉集合となり、位相に関する多くの証明が簡略化されます。

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Every T₁ space guarantees that singletons are closed, which simplifies many proofs in topology.

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Every T₁ space guarantees that singletons are closed, which simplifies many proofs in topology.

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Related words

T₁

Adjective
not-comparable of a topological space
Japanese Meaning
位相空間がT₁の性質を持つとは、任意の二点について、それぞれの点を含むが相手の点を含まない開集合が存在する状態を指す。
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すべてのT1位相空間では、単点集合が閉集合となり、位相に関する多くの証明が簡略化されます。

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