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Boolean methods in \(F\)-quantum spaces. (English) Zbl 0795.03093
Summary: We present a Boolean, point-free characterization of fuzzy observables, using Boolean-valued Dedekind cuts and the theory of Boolean powers. In the second part of the paper we study the links of quantum spaces with the theory of orthospaces and its associated tolerance spaces. Finally in the third part using a soft Boolean algebra, we construct a Boolean model which incorporates all the previous ideas.

MSC:
03G12 Quantum logic
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