Sets whose intersection is the empty set are called disjoint. What is the opposite of a disjoint set? For example the sets $\{1,2\}$ and $\{2,3\}$ satisfy this condition. I know that you can just say not-disjoint. But I was wondering if there was a specific term for it. I ask this because someone told me that this term existed but that he could`nt remeber. I have searched extensively but I haven't found it.
opposite of disjoint
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$\begingroup$
elementary-set-theory
terminology
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10They are joint! – 2012-07-10
2 Answers
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You seem to be looking for an adjective meaning the opposite of disjoint. Given two sets that aren't disjoint, I would just call them intersecting sets, where intersecting is an adjectival participle derived from the verb to intersect.
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If $A\cap B \not= \emptyset$, I say, "$A$ meets $B$."
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1Is there any notation you can use to indicate this? I recall seeing `$A\uparrow B$` but I cannot find it back – 2015-09-18