Abstract
The problem of independence of subalgebras has already been discussed in the preceding chapters. The concept of independence is one of the most important in the entire theory of Boolean algebras; in particular, it plays a key role in the problems concerning the structure of BAs. In the “metric” version the idea of independence is basic for probability theory. A significant part of probability theory (limit theorems, laws of large numbers, etc.) is devoted to independent random variables or, which is equivalent, to independent subalgebras.
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© 2002 Springer Science+Business Media Dordrecht
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Vladimirov, D.A. (2002). Independence. In: Boolean Algebras in Analysis. Mathematics and Its Applications, vol 540. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0936-1_11
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DOI: https://doi.org/10.1007/978-94-017-0936-1_11
Publisher Name: Springer, Dordrecht
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