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A set P is called perfect if P=P^', where P^' is the derived set of P.

A definable set which is the complement of an analytic 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.

A definable set, also called a Souslin set.

A hom-set of a category C is a set of morphisms of C.

A nonempty set is a set containing one or more elements. Any set other than the empty set emptyset is therefore a nonempty set. Nonempty sets are sometimes also called ...

A connected set is a set that cannot be partitioned into two nonempty subsets which are open in the relative topology induced on the set. Equivalently, it is a set which ...

An analytic, Borel, or coanalytic set.

A set fixed within the framework of a theory and consisting of all objects considered in this theory. The complement of the universal set is the empty set.

The limit points of a set P, denoted P^'.