Lower Semicontinuity of Transport Cost under Narrow Convergence is a result from the foundations of optimal transport. For mathematical objects and mathematical objects be Polish spaces, and equip mathematical objects with the mathematical objects objectsm mathematical objectsc(x,y) mmathematical objects(x,y) X Ymathematical ob. It helps organize the relationship between Monge maps, Kantorovich plans, duality, and Wasserstein geometry.