Ostrovska, SofiyaOstrovskii, Mikhail I.Mathematics2024-07-052024-07-05202400022-247X1096-081310.1016/j.jmaa.2023.1272342-s2.0-85151296865https://doi.org/10.1016/j.jmaa.2023.127234https://hdl.handle.net/20.500.14411/2164This work aims to establish new results pertaining to the structure of transportation cost spaces. Due to the fact that those spaces were studied and applied in various contexts, they have also become known under different names such as Arens-Eells spaces, Lipschitz-free spaces, and Wasserstein spaces. The main outcome of this paper states that if a metric space X is such that the transportation cost space on X contains an isometric copy of L1, then it contains a 1-complemented isometric copy of $1. (c) 2023 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessArens-Eells spaceEarth mover distanceKantorovich-Rubinstein distanceLipschitz-free spaceTransportation costWasserstein distanceArticleQ2Q25292WOS:001088812900001