Add to ORKGWe propose a construction of a stable category for any pretorsion theory in a lextensive category. We prove the universal property of the stable category, that extends previous results obtained for the stable category of internal preorders in a pretopos. Some examples are provided in the categories of topological spaces and of (small) categories.Comment: 26 page
AbstractStable homotopy theories, i.e. pointed theories for which the suspension is an equivalence, ...
We describe a pretorsion theory in the category Cat of small categories: the torsion objects are the...
characterization of those categories occurring as regular epireflec-tive subcategories of presheaf c...
We prove that the stable category associated with the category (ℂ) of internal preorders in a pretop...
In a recent article Facchini and Finocchiaro considered a natural pretorsion theory in the category ...
In a recent article Facchini and Finocchiaro considered a natural pretorsion theory in the category ...
In a recent article Facchini and Finocchiaro considered a natural pretorsion theory in the category ...
In a recent article Facchini and Finocchiaro considered a natural pretorsion theory in the category ...
In a recent article Facchini and Finocchiaro considered a natural pretorsion theory in the category ...
We show that in the category of preordered sets there is a natural notion of pretorsion theory, in w...
Pretorsion theories∗ The notion of pretorsion theory is a wide extension of the classical notion of ...
We present a setting for the study of torsion theories in general categories. The idea is to associa...
An abstract homotopy theory is a situation in which one has a category with a class of ``weak equiva...
An abstract homotopy theory is a situation in which one has a category with a class of ``weak equiva...
Let PreOrd(C) be the category of internal preorders in an exact category C. We show that the pair (E...
AbstractStable homotopy theories, i.e. pointed theories for which the suspension is an equivalence, ...
We describe a pretorsion theory in the category Cat of small categories: the torsion objects are the...
characterization of those categories occurring as regular epireflec-tive subcategories of presheaf c...
We prove that the stable category associated with the category (ℂ) of internal preorders in a pretop...
In a recent article Facchini and Finocchiaro considered a natural pretorsion theory in the category ...
In a recent article Facchini and Finocchiaro considered a natural pretorsion theory in the category ...
In a recent article Facchini and Finocchiaro considered a natural pretorsion theory in the category ...
In a recent article Facchini and Finocchiaro considered a natural pretorsion theory in the category ...
In a recent article Facchini and Finocchiaro considered a natural pretorsion theory in the category ...
We show that in the category of preordered sets there is a natural notion of pretorsion theory, in w...
Pretorsion theories∗ The notion of pretorsion theory is a wide extension of the classical notion of ...
We present a setting for the study of torsion theories in general categories. The idea is to associa...
An abstract homotopy theory is a situation in which one has a category with a class of ``weak equiva...
An abstract homotopy theory is a situation in which one has a category with a class of ``weak equiva...
Let PreOrd(C) be the category of internal preorders in an exact category C. We show that the pair (E...
AbstractStable homotopy theories, i.e. pointed theories for which the suspension is an equivalence, ...
We describe a pretorsion theory in the category Cat of small categories: the torsion objects are the...
characterization of those categories occurring as regular epireflec-tive subcategories of presheaf c...