Wasserstein Geodesics Induced by Dynamical Optimal Plans is a result from the foundations of optimal transport. For mathematical objects be a complete separable mathematical objectsXmathematical objects(X)mathematical objects:[0,1] Xmathematical objects objectsC([0,1];X)mathematical objectst[0,1]mathematical objectset:(X. It helps organize the relationship between Monge maps, Kantorovich plans, duality, and Wasserstein geometry.