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arxiv: 1109.1690 · v1 · pith:HSCDX7NVnew · submitted 2011-09-08 · 🧮 math.PR

Noise as a Boolean algebra of sigma-fields. II. Classicality, blackness, spectrum

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keywords booleanalgebrasigma-fieldsnoisesetsalgebrasblackblackness
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Similarly to noises, Boolean algebras of sigma-fields can be black. A noise may be treated as a homomorphism from a Boolean algebra of regular open sets to a Boolean algebra of sigma-fields. Spectral sets are useful also in this framework.

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