MEASURABLE PARTITIONS GENERATED BY QUASIENDOMORPHISMES
In the paper a class of measurable partitions  of Lebesque space M with conditional measures (C) > 0, C ¶ , not necessarily (C) = 1 as by V.A. Rokhlin, but if M/ = [0, 1], g(x) = (Cx), 1 R0 g(x)dx = 1, is considered. It is shown that for which such partition it exists quasiendomorphism T, for which T−1 = ,  - pointwise partition.