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math-ph2021★ 1 cited
Topos-Theoretic Approaches to Quantum Theory
Matthijs Vákár
This review paper surveys work by Isham, Butterfield, Döring, Landsman, Spitters, Heunen, and others on topos-theoretic analyses of quantum theory. It aims to provide a synthesized…
math-ph2021★ 1 cited
Principal Bundles and Gauge Theories
Matthijs Vákár
This set of lecture notes first gives an introduction to the geometry of principal bundles. Next, it demonstrates how they can be used to formalize the concept of gauge theories ar…