ultrafilter
maximal proper filter
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ultrafilter
Summary
ultrafilter is a mathematical concept[1]. ultrafilter draws 81 Wikipedia views per month (mathematical_concept category, ranking #176 of 1,007).[2]
Key Facts
- ultrafilter's image is recorded as Filter vs ultrafilter.svg[3].
- ultrafilter's instance of is recorded as mathematical concept[4].
- ultrafilter's subclass of is recorded as filter[5].
- ultrafilter's Freebase ID is recorded as /m/07vdm[6].
- ultrafilter's Gran Enciclopèdia Catalana ID is recorded as 0149123[7].
- ultrafilter's Encyclopædia Britannica Online ID is recorded as topic/ultrafilter[8].
- ultrafilter's Stack Exchange tag is recorded as https://mathoverflow.net/tags/ultrafilters[9].
- ultrafilter's different from is recorded as Q12377736[10].
- ultrafilter's defining formula is recorded as \varnothing\ne \bigcup_{x\in U}\uparrow x=U\subsetneq P\land(\forall x,y\in U\exists z\in U\colon x\ge z\le y)\land \forall F\subsetneq P\colon F\supset U\land \left(\varnothing\ne \bigcup_{x\in F}\uparrow x=F\subset P\land(\forall x,y\in F\exists z\in F\colon x\ge z\le y)\right)\implies F=U[11].
- ultrafilter's studied by is recorded as lattice theory[12].
- ultrafilter's MathWorld ID is recorded as Ultrafilter[13].
- ultrafilter's nLab ID is recorded as ultrafilter[14].
- ultrafilter's maintained by WikiProject is recorded as WikiProject Mathematics[15].
- ultrafilter's Microsoft Academic ID is recorded as 87598191[16].
- ultrafilter's in defining formula is recorded as (P,\le)[17].
- ultrafilter's in defining formula is recorded as U[18].
- ultrafilter's in defining formula is recorded as \varnothing[19].
- ultrafilter's Encyclopedia of Mathematics article ID is recorded as Ultrafilter[20].
- ultrafilter's OpenAlex ID is recorded as C87598191[21].
- ultrafilter's ScienceDirect topic ID is recorded as mathematics/ultrafilter[22].
- ultrafilter's Gran Enciclopèdia Catalana ID is recorded as ultrafiltre-0[23].
Why It Matters
ultrafilter draws 81 Wikipedia views per month (mathematical_concept category, ranking #176 of 1,007).[2] ultrafilter has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[24] ultrafilter is known by 7 alternative names across languages and contexts.[25]