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Use for questions regarding duality of mathematical object, i.e. dual spaces, objects with two possible interpretations etc.

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Confusion about the dual/predual to the tangent plane to a Teichmüller space

More precisely, I know there is a duality between $Q(R)$ and the tangent plane to $\mathrm{Teich}(R)$ at the basepoint, but I am confused as to whether $T_0\mathrm{Teich}(R)$ is the (topological) dual …