filter (Q1052692)
in order theory, a nonempty, downward‐directed, upward‐closed subset of a preordered set
Language:
Current Data About filter
(P279) (Q120868052)
(Q2528262)
(P361) (Q78054942)
(P461) (Q1656686)
(P2534) \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)
(P2579) (Q18533485)
(Q24175351)
(P6104) (Q8487137)
(P7235) (P,\le)
\varnothing
F
\land
other details
description in order theory, a nonempty, downward‐directed, upward‐closed subset of a preordered set

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