14 citations · 60 across the 26 of their papers we have counts for
4 papers · 1 filter
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…
Axioms for the category of sets and relations
Andre Kornell
We provide axioms for the dagger category of sets and relations that recall recent axioms for the dagger category of Hilbert spaces and bounded operators.
Axioms for the category of Hilbert spaces and linear contractions
Chris Heunen, Andre Kornell, Nesta van der Schaaf
The category of Hilbert spaces and linear contractions is characterised by elementary categorical properties that do not refer to probabilities, complex numbers, norm, continuity,…
Axioms for the category of Hilbert spaces
Chris Heunen, Andre Kornell
We provide axioms that guarantee a category is equivalent to that of continuous linear functions between Hilbert spaces. The axioms are purely categorical and do not presuppose any…