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{{Unreferenced|date=January 2007}}
In [[combinatorics]], a '''Helly family of order ''k''''' is a family of sets such that any minimal subfamily with an empty intersection has ''k'' or fewer sets in it. The ''k''-'''Helly property''' is the property of being a Helly family of order ''k''. These concepts are named after [[Eduard Helly]] (1884 - 1943); [[Helly's theorem]] on [[convex set]]s, which gave rise to this notion, states that convex sets in [[Euclidean space]] of dimension ''n'' are a Helly family of order ''n'' + 1.
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