14 citations · 60 across the 26 of their papers we have counts for
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math.OA2018
Quantum extensions of ordinary maps
Andre Kornell
We define a loop to be quantum nullhomotopic if and only if it admits a nonempty quantum set of extensions to the unit disk. We show that the canonical loop in the unit circle is n…
math.LO2018
A complete system of deduction for Sigma formulas
Andre Kornell
The Sigma formulas of the language of arithmetic express semidecidable relations on the natural numbers. More generally, whenever a totality of objects is regarded as incomplete, t…
math.OA2018★ 14 cited
Quantum sets
Andre Kornell
A quantum set is defined to be simply a set of nonzero finite-dimensional Hilbert spaces. Together with binary relations, essentially the quantum relations of Weaver, quantum sets…