Generalized reflective cum coreflective classes in Top and Unif

The Herrlich's problem whether there are nontrivial classes of topological spaces tht are both almnost reflective or injective and almost coreflective or projective, is investigated in amore general setting using cone and cocone modifications of the classes used in the problem. We look also at the problem for uniform spaces. Typical results: There is no nontrivial multiprojective and orthogonal class of topological spaces; there is a reflective class of uniform spaces that is almost coreflective in UNIF