2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65758In this paper we prove the equivalence of the questions of B.A. Pasynkov and V.V. Uspenskij. We also get some partial results answering these questions in affirmative. As a corollary to these results we get an extention of the Hurewicz formula to the extensional dimension.Accepted in Topology And It's ApplicationsGeneral Topology54F45;55M10Approximation of k-dimensional mapstext