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math.MG2020
On the duality of moduli in arbitrary codimension
Atte Lohvansuu
We study the duality of moduli of k- and (n-k)-dimensional slices of euclidean n-cubes, and establish the optimal upper bound 1.
math.MG2020
Duality of moduli in regular toroidal metric spaces
Atte Lohvansuu
We generalize a result of Freedman and He, concerning the duality of moduli and capacities in solid tori, to sufficiently regular metric spaces. This is a continuation of the work…