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Two sets A_1 and A_2 are disjoint if their intersection A_1 intersection A_2=emptyset, where emptyset is the empty set. n sets A_1, A_2, ..., A_n are disjoint if A_i ...
Let A={A_1,A_2,...,A_n} be a union-closed set, then the union-closed set conjecture states that an element exists which belongs to at least n/2 of the sets in A. Sarvate and ...
A set class which is not a set.
A definable set which is the complement of an analytic set.
A set P is called perfect if P=P^', where P^' is the derived set of P.
A definable set, also called a Souslin set.
A set whose members index (label) members of another set. For example, in the set A= union _(k in K)A_k, the set K is an index set of the set A.
An analytic, Borel, or coanalytic set.
A superset which is not the entire set.
The set of all sets is its own power set. Therefore, the cardinal number of the set of all sets must be bigger than itself.
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