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Oxford Quantum Talks Archive

Coreflections in Algebraic Quantum Logic

Jorik Mandemaker, Radboud University Nijmegen
Quantum Physics and Logic 2010, May 2010, University of Oxford

Various generalizations of Boolean algebras are being studied in algebraic quantum logic, including orthomodular lattices, orthomodular posets, orthoalgebras and effect algebras. This paper contains a systematic study of the structure in and between categories of such algebras. It does so via a combination of totalization (of partially defined operations) and transfer of structure via coreflections.

[video] [streaming video]