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Random algebra

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In set theory, the random algebra is the Boolean algebra of measurable sets of the unit interval modulo the ideal of measure zero sets. It is used in random forcing to add random reals to a model of set theory. It was studied by von Neumann (1935, p. 253).

References

  • von Neumann, John (1998) [1960], Continuous geometry, Princeton Landmarks in Mathematics, Princeton University Press, ISBN 978-0-691-05893-1, MR 0120174