Abstract. In this paper we show how it is possible to define the strong shape category for general topological spaces, using only the strong shape category of metric spaces, and the so called generalized shape theories.
1991 Mathematics Subject Classification. 18A20, 18A40, 54C55, 54C56.
Key words and phrases. Proepireflector, reflective functor, generalized shape theory, homotopy preservation, strong shape category.