Abstract
Let us now come to the proof of the lower semicontinuity of the action, defined as in (9.8). The proof could be achieved with more elementary tools, but we prefer to use a general lemma that will play a role also in the sequel.
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Ambrosio, L., Brué, E., Semola, D. (2021). Lecture 10: Wasserstein Geodesics, Nonbranching and Curvature. In: Lectures on Optimal Transport. UNITEXT(), vol 130. Springer, Cham. https://doi.org/10.1007/978-3-030-72162-6_10
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