The problem of exponentiation Top has two solutions in one, in sequential spaces and other spaces in pseudotopologicos. These facts are known in the literature. In both cases the ca- tegories that solve the problem are topological categories and the unifying nature of these results is the motivation of the work. In particular in this paper a new method to construct the category of sequential spaces, which generates and reflective subcategories of Top correfle- xivas topological shown. At the end we wonder if the category of spaces and other extensions pseudotopologicos Top can be generated similarly