Hereditary Coreflective Subcategories in Certain Categories of Abelian Semitopological Groups
Copyright policy )Hereditary Coreflective Subcategories in Certain Categories of Abelian Semitopological Groups
Let A be an epireflective subcategory of the category of all semitopological groups that consists only of abelian groups. We describe maximal hereditary coreflective subcategories of A that are not bicoreflective in A in the case that the A -reflection of the discrete group of integers is a finite cyclic group, the group of integers with a topology that is not T 0 , or the group of integers with the topology generated by its subgroups of the form p n , where n ∈ N , p ∈ P and P is a given set of prime numbers.
coreflective subcategory, QA1-939, Epimorphisms, monomorphisms, special classes of morphisms, null morphisms, semitopological group, hereditary subcategory, Categorical methods in general topology, abelian group, Mathematics
coreflective subcategory, QA1-939, Epimorphisms, monomorphisms, special classes of morphisms, null morphisms, semitopological group, hereditary subcategory, Categorical methods in general topology, abelian group, Mathematics
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