On regular and homological closure operators (with
Gonçalo Gutierres)
Preprint 09-49 of Dep. Mat.Univ. Coimbra:
pdf file
Abstract: Observing that weak heredity of regular closure
operators in Top and of homological closure operators in homological
categories identifies torsion theories, we study these closure
operators in parallel, showing that regular closure operators play the
same role in topology as homological closure operators do algebraically.