Noise as a Boolean algebra of sigma-fields. III. An old question of Jacob Feldman
Probability
2011-10-18 v1
Abstract
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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Cite
@article{arxiv.1110.3464,
title = {Noise as a Boolean algebra of sigma-fields. III. An old question of Jacob Feldman},
author = {Boris Tsirelson},
journal= {arXiv preprint arXiv:1110.3464},
year = {2011}
}
Comments
16 pages