Noise as a Boolean algebra of sigma-fields. III. An old question of Jacob Feldman

Details Noise as a Boolean algebra of sigma-fields. III. An old question of Jacob Feldman Noise as a Boolean algebra of sigma-fields. III. An old question of Jacob Feldman

2011-10-16

arxiv.org/abs/1110.3464v1

Mathematics

Probability

16 pages

Scientific paper

The noise-type completion C of a noise-type Boolean algebra B is generally
not the same as the closure of B. As shown in Part I (Introduction, Theorem 2),
C consists of all complemented elements of the closure. It appears that C is
the whole closure if and only if B is classical (as defined in Part II, Sect.
1a), which is the main result of this Part III.

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