On quantum event structures. I. The categorical scheme

Foundations Of Physics Letters 14 (2):147-166 (2001)
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In this paper a mathematical scheme for the analysis of quantum event structures is being proposed based on category theoretical methods. It is shown that there exists an adjunctive correspondence between Boolean presheaves of event algebras and quantum event algebras. The adjunction permits a characterization of quantum event structures as Boolean manifolds of event structures.



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