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Definitions about a set which depend on the entire set.

A set considered together with the sigma-algebra on the set.

The set closure of the set of arguments of a function f for which f is not zero.

The set of points, known as boundary points, which are members of the set closure of a given set S and the set closure of its complement set. The boundary is sometimes called ...

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.

A superset which is not the entire set.

The function from a given nonempty set X to the power set P(X) that maps every element x of X to the set {x}.

A set of six.

A set of five.

A relation on a totally ordered set.