Last Updated
：2025/11/28
free ultrafilter
Noun
Japanese Meaning
数学解析（特に非標準解析）において、対象となる集合の全ての余有限部分集合を含む超濾過。すなわち、特定の一点に依存しない（非自明な）超濾過のことを指す。
（ plural ）
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(mathematical analysis, especially nonstandard analysis) An ultrafilter which contains all cofinite subsets of the set which is being filtered
by it.
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free ultrafilter
In nonstandard analysis, a free ultrafilter on the natural numbers is used to construct the hyperreal numbers.
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In nonstandard analysis, a free ultrafilter on the natural numbers is used to construct the hyperreal numbers.
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