=+k-fold product of Lebesgue measure over the unit interval. Then IT is a countable product of copies

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=+k-fold product of Lebesgue measure over the unit interval. Then IT is a countable product of copies of (0, 1), its elements are sequences x = (x1, x2, ... )

of points of (0, 1), and Kolmogorov's theorem ensures the existence on (IT, AT)

of a product probability measure T: "[x: x; Sa, isn] =a1 x, for 0 5a, ≤ 1. Let /" denote the n-dimensional unit cube.

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