Topos Perspective on the Kochen–Specker Theorem: IV. Interval Valuations

@article{Butterfield2001ToposPO,
  title={Topos Perspective on the Kochen–Specker Theorem: IV. Interval Valuations},
  author={J. Butterfield and C. Isham},
  journal={International Journal of Theoretical Physics},
  year={2001},
  volume={41},
  pages={613-639}
}
AbstractWe extend the topos-theoretic treatment given in previous papers (Butterfield, J. and Isham, C. J. (1999). International Journal of Theoretical Physics38, 827–859; Hamilton, J., Butterfield, J., and Isham, C. J. (2000). International Journal of Theoretical Physics39, 1413–1436; Isham, C. J. and Butterfield, J. (1998). International Journal of Theoretical Physics37, 2669–2733) of assigning values to quantities in quantum theory. In those papers, the main idea was to assign a sieve as a… Expand
77 Citations
Topos Quantum Theory with Short Posets
Topos-Theoretic Extension of a Modal Interpretation of Quantum Mechanics
Kochen–Specker Theorem for von Neumann Algebras
2 7 Se p 20 07 A topos for algebraic quantum theory
Intuitionistic Quantum Logic of an n-level System
Comparing Intuitionistic Quantum Logics: From Orthomodular Lattices to Frames
Gelfand spectra in Grothendieck toposes using geometric mathematics
Unsharp Values, Domains and Topoi
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 12 REFERENCES
Topos Perspective on the Kochen-Specker Theorem: I. Quantum States as Generalized Valuations
A Topos Perspective on the Kochen-Specker Theorem II. Conceptual Aspects and Classical Analogues
Topos Theory as a Framework for Partial Truth
Topos Perspective on the Kochen=nSpeckerTheorem: III. Von Neumann Algebras as theBase Category
Fundamentals of the Theory of Operator Algebras
A topos perspective on the KochenSpecker theorem : III . Von Neumann algebras as the base category
  • Int . J . Theor . Phys .
  • 2000
A topos perspective on the KochenSpecker theorem : I . Quantum states as generalised valuations
  • Int . J . Theor . Phys .
  • 1998
Acknowledgements Chris Isham gratefully acknowledges support by the EPSRC grant GR/R36572. Jeremy Butterfield thanks Hans Halvorson for very helpful discussions
  • Acknowledgements Chris Isham gratefully acknowledges support by the EPSRC grant GR/R36572. Jeremy Butterfield thanks Hans Halvorson for very helpful discussions
...
1
2
...