Partition with possibly empty elements












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Is there a name for $(A_i)_{iin I}$ 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
    $endgroup$
    – MPW
    Jan 23 at 22:28










  • $begingroup$
    I would prefer a quasi partition (at least in French)
    $endgroup$
    – Colas
    Jan 23 at 22:29










  • $begingroup$
    What is a context? How adding some emptysets to a partition can be useful?
    $endgroup$
    – Berci
    Jan 23 at 22:41










  • $begingroup$
    No particular context.
    $endgroup$
    – Colas
    Jan 23 at 22:58










  • $begingroup$
    It is called a partition. If some of the sets are empty, ignore them.
    $endgroup$
    – William Elliot
    Jan 23 at 23:36
















0












$begingroup$


Is there a name for $(A_i)_{iin I}$ 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 $E$?










share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    The title of your question sounds like a pretty good candidate for a name
    $endgroup$
    – MPW
    Jan 23 at 22:28










  • $begingroup$
    I would prefer a quasi partition (at least in French)
    $endgroup$
    – Colas
    Jan 23 at 22:29










  • $begingroup$
    What is a context? How adding some emptysets to a partition can be useful?
    $endgroup$
    – Berci
    Jan 23 at 22:41










  • $begingroup$
    No particular context.
    $endgroup$
    – Colas
    Jan 23 at 22:58










  • $begingroup$
    It is called a partition. If some of the sets are empty, ignore them.
    $endgroup$
    – William Elliot
    Jan 23 at 23:36














0












0








0





$begingroup$


Is there a name for $(A_i)_{iin I}$ 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 $E$?










share|cite|improve this question









$endgroup$




Is there a name for $(A_i)_{iin I}$ 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 $E$?







elementary-set-theory definition






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asked Jan 23 at 22:02









ColasColas

1426




1426








  • 1




    $begingroup$
    The title of your question sounds like a pretty good candidate for a name
    $endgroup$
    – MPW
    Jan 23 at 22:28










  • $begingroup$
    I would prefer a quasi partition (at least in French)
    $endgroup$
    – Colas
    Jan 23 at 22:29










  • $begingroup$
    What is a context? How adding some emptysets to a partition can be useful?
    $endgroup$
    – Berci
    Jan 23 at 22:41










  • $begingroup$
    No particular context.
    $endgroup$
    – Colas
    Jan 23 at 22:58










  • $begingroup$
    It is called a partition. If some of the sets are empty, ignore them.
    $endgroup$
    – William Elliot
    Jan 23 at 23:36














  • 1




    $begingroup$
    The title of your question sounds like a pretty good candidate for a name
    $endgroup$
    – MPW
    Jan 23 at 22:28










  • $begingroup$
    I would prefer a quasi partition (at least in French)
    $endgroup$
    – Colas
    Jan 23 at 22:29










  • $begingroup$
    What is a context? How adding some emptysets to a partition can be useful?
    $endgroup$
    – Berci
    Jan 23 at 22:41










  • $begingroup$
    No particular context.
    $endgroup$
    – Colas
    Jan 23 at 22:58










  • $begingroup$
    It is called a partition. If some of the sets are empty, ignore them.
    $endgroup$
    – William Elliot
    Jan 23 at 23:36








1




1




$begingroup$
The title of your question sounds like a pretty good candidate for a name
$endgroup$
– MPW
Jan 23 at 22:28




$begingroup$
The title of your question sounds like a pretty good candidate for a name
$endgroup$
– MPW
Jan 23 at 22:28












$begingroup$
I would prefer a quasi partition (at least in French)
$endgroup$
– Colas
Jan 23 at 22:29




$begingroup$
I would prefer a quasi partition (at least in French)
$endgroup$
– Colas
Jan 23 at 22:29












$begingroup$
What is a context? How adding some emptysets to a partition can be useful?
$endgroup$
– Berci
Jan 23 at 22:41




$begingroup$
What is a context? How adding some emptysets to a partition can be useful?
$endgroup$
– Berci
Jan 23 at 22:41












$begingroup$
No particular context.
$endgroup$
– Colas
Jan 23 at 22:58




$begingroup$
No particular context.
$endgroup$
– Colas
Jan 23 at 22:58












$begingroup$
It is called a partition. If some of the sets are empty, ignore them.
$endgroup$
– William Elliot
Jan 23 at 23:36




$begingroup$
It is called a partition. If some of the sets are empty, ignore them.
$endgroup$
– William Elliot
Jan 23 at 23:36










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