298 citations · 412 across the 13 of their papers we have counts for
20 papers
A Note on Compactness and Clique Size
David V. Feldman, Alexander Wilce
Say that a topological space has finite, respectively bounded, cliques iff every closed, irreflexive binary relation --- equivalently, every closed, loop-free directed graph --…
Maximal Filters in the Lattice of Partitions of an Infinite Set
David Victor Feldman, Alexander Wilce
We study maximal (proper) filters in the complete lattice of partitions of an infinite set~. In the language of uniform spaces, these are precisely the atoms of the lattice of z…
Order Unit Spaces and Probabilistic Models
John Harding, Alex Wilce
We exhibit a functor from the category OUS of order unit spaces and positive, unit-preserving mappings into the category $\Prob$ of probabilistic models (test spaces with designate…
Classical Explanations in (and of) General Probabilistic Theories
John Harding, Alex Wilce
We introduce a notion of the ``explanation" of one (generalized) probabilistic model by another as particular kind of span in the category $\Prob$ of probabilistic models and morph…
Locally Tomographic Shadows (Extended Abstract)
Howard Barnum, Matthew A. Graydon, Alex Wilce
Given a monoidal probabilistic theory -- a symmetric monoidal category of systems and processes, together with a functor assigning concrete probabilistic…
A Shortcut from Categorical Quantum Theory to Convex Operational Theories
Alexander Wilce
This paper charts a very direct path between the categorical approach to quantum mechanics, due to Abramsky and Coecke, and the older convex-operational approach based on ordered v…