34 citations · 56 across the 5 of their papers we have counts for
6 papers
Obituary for a Flea
Jasper van Heugten, Sander Wolters
The Landsman-Reuvers proposal to solve the measurement problem from within quantum theory is extensively analysed. In favor of proposals of this kind, it is shown that the standard…
Independence Conditions for Nets of Local Algebras as Sheaf Conditions
Sander A. M. Wolters, Hans Halvorson
We apply constructions from topos-theoretic approaches to quantum theory to algebraic quantum field theory. Thus a net of operator algebras is reformulated as a functor that maps r…
Gelfand spectra in Grothendieck toposes using geometric mathematics
Bas Spitters, Steven Vickers, Sander Wolters
In the (covariant) topos approach to quantum theory by Heunen, Landsman and Spitters, one associates to each unital C*-algebra, A, a topos T(A) of sheaves on a locale and a commuta…
Topos Models for Physics and Topos Theory
Sander A. M. Wolters
What is the role of topos theory in the topos models for quantum theory as used by Isham, Butterfield, Doring, Heunen, Landsman, Spitters and others? In other words, what is the i…
The Gelfand spectrum of a noncommutative C*-algebra: a topos-theoretic approach
Chris Heunen, Nicolaas P. Landsman, Bas Spitters +1
We compare two influential ways of defining a generalized notion of space. The first, inspired by Gelfand duality, states that the category of 'noncommutative spaces' is the opposi…
A Comparison of Two Topos-Theoretic Approaches to Quantum Theory
Sander Wolters
The aim of this paper is to compare the two topos-theoretic approaches to quantum mechanics that may be found in the literature to date. The first approach, which we will call the…