2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72190We provide an example of a zero-dimensional compact metric space $X$ and its closed subspace $A$ such that there is no continuous linear extension operator for the Lipschitz pseudometrics on $A$ to the Lipschitz pseudometrics on $X$. The construction is based on results of A. Brudnyi and Yu. Brudnyi concerning linear extension operators for Lipschitz functions.7 pagesGeneral TopologyGeometric Topology26A16; 54C20; 54E35; 54E40Nonexistence of linear operators extending Lipschitz (pseudo)metricstext