Add to ORKGWe de ne a strong relation in a category C to be a span which is \orthog- onal" to the class of jointly epimorphic pairs of morphisms. Under the presence of nite limits, a strong relation is simply a strong monomorphism R ! X Y . We show that a category C with pullbacks and equalizers is a weakly Mal'tsev category if and only if every re exive strong relation in C is an equivalence relation. In fact, we obtain a more general result which includes, as its another particular instance, a similar well-known characterization of Mal'tsev categories.National Research Foundation (South Africa)Polytechnical Institute of Leiria
as a category of spans and as the Kleisli category for the powerset monad. A set-functor can be lift...
AbstractThe basic notions of category theory, such as limit, adjunction, and orthogonality, all invo...
The basic notions of category theory, such as limit, adjunction, and orthogonality, all involve asse...
We define relative regular Mal’tsev categories and give an overview of conditions which are equivale...
We make some beginning observations about the category $eeq$ of equivalence relations on the set o...
Abstract. We define relative regular Mal’tsev categories and give an overview of conditions which ar...
Mal’tsev categories turned out to be a central concept in categorical algebra. On one hand, the simp...
AbstractPure epimorphisms in categories pro-C, which essentially are just inverse limits of split ep...
In this paper we propose an approach to homotopical algebra where the basic ingredient is a category...
AbstractIn this paper we propose an approach to homotopical algebra where the basic ingredient is a ...
A Strong type is a class of a bounded equivalence relation (i.e. the quotient is a proper set) on tu...
This paper continues the development of a simplicial theory of weak omega-categories, by studying ca...
Abstract. For m � n> 0, a map f between pointed spaces is said to be a weak [n, m]-equivalence if...
AbstractGiven a category pair (C,D), where D is dense in C, the abstract coarse shape category Sh(C,...
We clarify the relationship between separable and covering morphisms in general categories by intro...
as a category of spans and as the Kleisli category for the powerset monad. A set-functor can be lift...
AbstractThe basic notions of category theory, such as limit, adjunction, and orthogonality, all invo...
The basic notions of category theory, such as limit, adjunction, and orthogonality, all involve asse...
We define relative regular Mal’tsev categories and give an overview of conditions which are equivale...
We make some beginning observations about the category $eeq$ of equivalence relations on the set o...
Abstract. We define relative regular Mal’tsev categories and give an overview of conditions which ar...
Mal’tsev categories turned out to be a central concept in categorical algebra. On one hand, the simp...
AbstractPure epimorphisms in categories pro-C, which essentially are just inverse limits of split ep...
In this paper we propose an approach to homotopical algebra where the basic ingredient is a category...
AbstractIn this paper we propose an approach to homotopical algebra where the basic ingredient is a ...
A Strong type is a class of a bounded equivalence relation (i.e. the quotient is a proper set) on tu...
This paper continues the development of a simplicial theory of weak omega-categories, by studying ca...
Abstract. For m � n> 0, a map f between pointed spaces is said to be a weak [n, m]-equivalence if...
AbstractGiven a category pair (C,D), where D is dense in C, the abstract coarse shape category Sh(C,...
We clarify the relationship between separable and covering morphisms in general categories by intro...
as a category of spans and as the Kleisli category for the powerset monad. A set-functor can be lift...
AbstractThe basic notions of category theory, such as limit, adjunction, and orthogonality, all invo...
The basic notions of category theory, such as limit, adjunction, and orthogonality, all involve asse...