On Mackey Topologies in Topological Abelian Groups
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چکیده
Let C be a class of topological abelian groups and SPC denote the full subcategory of subobjects of products of objects of C. We say that SPC has Mackey coreflections if there is a functor that assigns to each object A of SPC an object τA that has the same group of characters as A and is the finest topology with that property. We show that the existence of Mackey coreflections in SPC is equivalent to the injectivity of the circle with respect to topological subgroups of groups in C.
منابع مشابه
On Mackey Topologies in Topological Abelian
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تاریخ انتشار 2001