On states on the product of logics
Copyright policy )On states on the product of logics
We take up the question of when a state (= σ-additive measure) on the product of logics (=σ-orthomodular posets) depends on at most countably many coordinates. We show that it is always so provided there are no real-measurable cardinals. The manner of dependence is a kind of convex combination. We derive some consequences of the latter statement.
- Charles University Czech Republic
- Czech Technical University in Prague Czech Republic
Complemented lattices, orthocomplemented lattices and posets, Complemented modular lattices, continuous geometries, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), states on orthomodular posets, Quantum logic
Complemented lattices, orthocomplemented lattices and posets, Complemented modular lattices, continuous geometries, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), states on orthomodular posets, Quantum logic
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