AbstractWe present characterizations of subcategories inducing weakly hereditary regular closure operators. These characterizations are applicable, in particular, to the category Top of topological spaces and continuous maps and to Abelian categories. Weakly hereditary regular closure operators, in Top and in Abelian categories satisfying some conditions, are shown to correspond to disconnectedness and torsion-free subcategories, respectively
AbstractThe category of finitely-generated spaces is shown to be the largest hereditary cartesian cl...
AbstractWe introduce and study the notion of torsion theory in the non-abelian context of homologica...
In this paper, we show that injectivity with respect to the class $\mathcal{D}$ of dense monomorphi...
We extend some recent of M. M. Clementino (Topology and its Applications 49 (1993)) and of the autho...
Observing that weak heredity of regular closure operators in Top and of homological closure operator...
Observing that weak heredity of regular closure operators in Top and of homological closure operator...
Dedicated to Francis Borceux on the occasion of his sixtieth birthday Abstract: Observing that weak ...
We provide analogous characterizations of the families of dense and of closed subobjects with respec...
The closure operators in the category Top of topological spaces are studied in full detail, providin...
AbstractWe provide analogous characterizations of the families of dense and of closed subobjects wit...
AbstractClosure operators in an (E, M)-category X are introduced as concrete endofunctors of the com...
Good and Macísas [1] have space is a closure-preserving family; and if a topological space has a clo...
summary:A notion of hereditarity of a closure operator with respect to a class of monomorphisms is i...
For a closure operator c in the sense of Dikranjan and Giuli, the subcategory #DELTA#(c)(#nabla#(c))...
AbstractWe introduce and study the notion of torsion theory in the non-abelian context of homologica...
AbstractThe category of finitely-generated spaces is shown to be the largest hereditary cartesian cl...
AbstractWe introduce and study the notion of torsion theory in the non-abelian context of homologica...
In this paper, we show that injectivity with respect to the class $\mathcal{D}$ of dense monomorphi...
We extend some recent of M. M. Clementino (Topology and its Applications 49 (1993)) and of the autho...
Observing that weak heredity of regular closure operators in Top and of homological closure operator...
Observing that weak heredity of regular closure operators in Top and of homological closure operator...
Dedicated to Francis Borceux on the occasion of his sixtieth birthday Abstract: Observing that weak ...
We provide analogous characterizations of the families of dense and of closed subobjects with respec...
The closure operators in the category Top of topological spaces are studied in full detail, providin...
AbstractWe provide analogous characterizations of the families of dense and of closed subobjects wit...
AbstractClosure operators in an (E, M)-category X are introduced as concrete endofunctors of the com...
Good and Macísas [1] have space is a closure-preserving family; and if a topological space has a clo...
summary:A notion of hereditarity of a closure operator with respect to a class of monomorphisms is i...
For a closure operator c in the sense of Dikranjan and Giuli, the subcategory #DELTA#(c)(#nabla#(c))...
AbstractWe introduce and study the notion of torsion theory in the non-abelian context of homologica...
AbstractThe category of finitely-generated spaces is shown to be the largest hereditary cartesian cl...
AbstractWe introduce and study the notion of torsion theory in the non-abelian context of homologica...
In this paper, we show that injectivity with respect to the class $\mathcal{D}$ of dense monomorphi...
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