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Consider a probability space specified by the triple (S,S,P), where (S,S) is a measurable space, with S the domain and S is its measurable subsets, and P is a measure on S ...

Let V be a vector space over a field K, and let A be a nonempty set. For an appropriately defined affine space A, K is called the coefficient field.

A topological space X fulfils the T1-separation axiom and is normal. A space fulfilling the T_4-separation axiom is said to be a T4-space.

An algebraic variety over a field K that becomes isomorphic to a projective space.

A subset of a topological space is called clopen if it is both closed and open.

A subset of a topological space which is compact with respect to the relative topology.

A subset A subset= X of a topological space X is said to be disconnected if it is not connected.

The kernel of a linear transformation T:V-->W between vector spaces is its null space.

A nonsimply connected 3-manifold, also called a dodecahedral space.

The hypothesis is that, for X is a measure space, f_n(x)->f(x) for each x in X, as n->infty. The hypothesis may be weakened to almost everywhere convergence.