ON LIFT OF HOMOTOPIC MAPS

By considering a hyperspace CL(X) of a Hausdorffspace X with the Vietoris topology [6] also called the finite topology and treating X as a subspace of CL(X) with the natural embedding, it is obtained that homotopic maps f, g : $X{\rightarrow}Y$ are lifted to homotopic maps on the respective hyperspaces.