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quant-ph1999
A Topos Perspective on the Kochen-Specker Theorem: III. Von Neumann Algebras as the Base Category
J. Hamilton, C. J. Isham, J. Butterfield
We extend the topos-theoretic treatment given in previous papers of assigning values to quantities in quantum theory, and of related issues such as the Kochen-Specker theorem. This…
quant-ph1998
A topos perspective on the Kochen-Specker theorem: I. Quantum States as Generalized Valuations
C. J. Isham, J. Butterfield
The Kochen-Specker theorem asserts the impossibility of assigning values to quantum quantities in a way that preserves functional relations between them. We construct a new type of…
quant-ph1995
Quantum logic and decohering histories
C J Isham
An introduction is given to an algebraic formulation and generalisation of the consistent histories approach to quantum theory. The main technical tool in this theory is an orthoal…