Last Updated :2025/11/28

principal ultrafilter

Noun
Japanese Meaning
(数学)超フィルターの一種で、超フィルターに属する任意の集合が、ある固定された一元集合を含む(そのスーパーセットである)という性質を持つもの。
What is this buttons?

この構成では、単点{x}で生成される超フィルターは、x を含むすべての部分集合を含みます。

plural

Quizzes for review

(mathematics) An ultrafilter such that every set belonging to it is the superset of some fixed singleton set.

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principal ultrafilter

In our construction, the principal ultrafilter concentrated on the singleton {x} contains every subset that includes x.

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In our construction, the principal ultrafilter concentrated on the singleton {x} contains every subset that includes x.

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