4 problems
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Causal-channel characterization of the gap between causal and partial traces
Causal-channel conjecture. The difference between the authors' causal-trace axioms and the axioms of a partial trace is similar to the difference addressed by Houghton–Larsen's con…
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The free traced symmetric monoidal category conjecture for the trace functional
Let be the underlying structure and let denote the category constructed from using the trace functional as in the paper. A traced symmetric monoida…
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Coherence for spacial traced categories
Let a spacial traced category be a planar traced category satisfying the spacial and spherical axioms, and consider the graphical language in which diagrams are identified up to is…
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Coherence for planar traced categories
Let a planar traced category be a monoidal category equipped with right and left traces satisfying the three additional axioms of interchange, left pivoting, and right pivoting, an…