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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive
Teor. Veroyatnost. i Primenen., 1982 Volume 27, Issue 2, Pages 353–358 (Mi tvp2360)
Short Communications

The sequences of points in infinite-dimensional spaces and the integration of functions

V. A. Kanevskiĭa, G. Š. Levb

a Kiev
b Barnaul

Abstract: We construct the sequence of points in the space $[0,1]^\omega$ such that for every parallelepiped the frequency of hitting in it equals to its measure. Some consequences of this fact are considired.

Received: 28.03.1979


 English version: Theory of Probability and its Applications, 1983, 27:2, 375–379

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