ИСТИНА

For a pair of map-morphisms (one of which is contracting and the other covering) one fiberwise complete and open metric map X → Z to another continuous metric map Y → Z, where Z is a zero-dimensional paracompactum, there exists a continuous section of the first mapping such that the images of this section under the action of the map-morphisms are coincident continuous sections that consist entirely of points of coincidence of the map-morphisms.