summary:We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated. In particular, closure operator theory is used to link closure and ortho\-go\-na\-lity properties of such morphisms. A number of detailed examples are given
This paper was inspired by the hard-to-believe fact that Jiř́ı Rosicky ́ is getting sixty. We are h...
This paper was inspired by the hard-to-believe fact that Jiř́ı Rosicky ́ is getting sixty. We are h...
AbstractThe basic notions of category theory, such as limit, adjunction, and orthogonality, all invo...
summary:We define perfect morphisms to be those which are the pullback of their image under a given ...
summary:We define perfect morphisms to be those which are the pullback of their image under a given ...
Bibliography: pages 92-97.Closure operations within objects of various categories have played an imp...
Torsion theories are here extended to categories equipped with an ideal of 'null morphisms', or equi...
Given a full and replete subcategory A of a category X, we present a new closure operator, which all...
summary:A logic of orthogonality characterizes all “orthogonality consequences" of a given class $\S...
summary:A logic of orthogonality characterizes all “orthogonality consequences" of a given class $\S...
summary:We introduce the concept of firm classes of morphisms as basis for the axiomatic study of co...
Given a (full and isomorphism-closed) subcategory #ALPHA# of a category #CHI#, we define a closure o...
AbstractIn a category K with finite limits, the exponentiability of a morphisms s is (rather easily)...
AbstractClosure operators in an (E, M)-category X are introduced as concrete endofunctors of the com...
summary:A logic of orthogonality characterizes all “orthogonality consequences" of a given class $\S...
This paper was inspired by the hard-to-believe fact that Jiř́ı Rosicky ́ is getting sixty. We are h...
This paper was inspired by the hard-to-believe fact that Jiř́ı Rosicky ́ is getting sixty. We are h...
AbstractThe basic notions of category theory, such as limit, adjunction, and orthogonality, all invo...
summary:We define perfect morphisms to be those which are the pullback of their image under a given ...
summary:We define perfect morphisms to be those which are the pullback of their image under a given ...
Bibliography: pages 92-97.Closure operations within objects of various categories have played an imp...
Torsion theories are here extended to categories equipped with an ideal of 'null morphisms', or equi...
Given a full and replete subcategory A of a category X, we present a new closure operator, which all...
summary:A logic of orthogonality characterizes all “orthogonality consequences" of a given class $\S...
summary:A logic of orthogonality characterizes all “orthogonality consequences" of a given class $\S...
summary:We introduce the concept of firm classes of morphisms as basis for the axiomatic study of co...
Given a (full and isomorphism-closed) subcategory #ALPHA# of a category #CHI#, we define a closure o...
AbstractIn a category K with finite limits, the exponentiability of a morphisms s is (rather easily)...
AbstractClosure operators in an (E, M)-category X are introduced as concrete endofunctors of the com...
summary:A logic of orthogonality characterizes all “orthogonality consequences" of a given class $\S...
This paper was inspired by the hard-to-believe fact that Jiř́ı Rosicky ́ is getting sixty. We are h...
This paper was inspired by the hard-to-believe fact that Jiř́ı Rosicky ́ is getting sixty. We are h...
AbstractThe basic notions of category theory, such as limit, adjunction, and orthogonality, all invo...