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math.CT2024
The category of topological spaces and open maps does not have products
Guram Bezhanishvili, Andre Kornell
We prove that the category of topological spaces and open maps does not have binary products, thus resolving the Esakia problem in the negative. We also prove that the categories o…
math-ph2024
Categories of quantum cpos
Andre Kornell, Bert Lindenhovius, Michael Mislove
This paper unites two research lines. The first involves finding categorical models of quantum programming languages and their type systems. The second line concerns the program of…
math.OA2024
Characterizations of homomorphisms among unital completely positive maps
Andre Kornell
We prove that a unital completely positive map between finite-dimensional C*-algebras is a homomorphism if and only if it is completely entropy-nonincreasing, where the relevant no…