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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 function defined for all possible input values.

The Cantor set T_infty, sometimes also called the Cantor comb or no middle third set (Cullen 1968, pp. 78-81), is given by taking the interval [0,1] (set T_0), removing the ...

The space E of a fiber bundle given by the map f:E->B, where B is the base space of the fiber bundle.

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

An analytic, Borel, or coanalytic set.

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 orthonormal set is a set of normalized orthogonal vectors or functions.