Some duality results for equivalence couplings and total variation

Luca Pratelli, Pietro Rigo

Let $(\Omega ,\mathcal{F})$ be a standard Borel space and $\mathcal{P}(\mathcal{F})$ the collection of all probability measures on $\mathcal{F}$. Let $E\subset \Omega \times \Omega$ be a measurable e…