2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74055In this paper, we show that D-compactness in Generalized Šerstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic Generalized Šerstnev is not D-compact in general. Finally, in the finite dimensional Generalized Šerstnev spaces a subset is D-compact if and only if is D-bounded and closed.5 pagesGeneral Topology54E70Some results in Generalized Šerstnev spacestext