On semireflexive subcategories

Abstract

In the category of Hausdorff locally convex topological vector spaces it is known that the class of L-semireflexive subcategories and some of its subclasses are isomorphic to classes of reflexive or coreflective subcategories. The most general case occurs when L is a c-reflective subcategory (L contains the subcategory of spaces with weak topology and the reflector functor is exactly to the left).This article examines a situation in which the coreflector functor commutes with products.