Is there a name for $(A_i)_{i\in I}$ a family of subsets of $E$ such that the $A_i$'s don't intersect each other and the union of the $A_i$'s equals $E$?
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1$\begingroup$ The title of your question sounds like a pretty good candidate for a name $\endgroup$– MPWJan 23, 2019 at 22:28
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$\begingroup$ I would prefer a quasi partition (at least in French) $\endgroup$– ColasJan 23, 2019 at 22:29
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$\begingroup$ What is a context? How adding some emptysets to a partition can be useful? $\endgroup$– BerciJan 23, 2019 at 22:41
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$\begingroup$ No particular context. $\endgroup$– ColasJan 23, 2019 at 22:58
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$\begingroup$ It is called a partition. If some of the sets are empty, ignore them. $\endgroup$– William ElliotJan 23, 2019 at 23:36
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