In this thesis, we prove the following result: the category of sheaves with values in a Grothendieck category with a small generator and arbitrary products has enough injectives. The result remains valid if we replace the value-category by a Grothendieck category with a noetherian projective generator. The proofs are based on a theorem on transported structures which is due to J.M. Maranda
Abstract. We extend Orlov’s representability theorem on the equivalence of derived categories of she...
AbstractWe prove that the 2-category of small abelian categories with exact functors is anti-equival...
We generalize the construction of the category of 1\u2013motives with torsion tM_1, by Barbieri-Vial...
AbstractTwo new definitions are given for cup products in the cohomology of sheaves on an arbitrary ...
AbstractAs Spaltenstein showed, the category of unbounded complexes of sheaves on a topological spac...
AbstractAs Spaltenstein showed, the category of unbounded complexes of sheaves on a topological spac...
Some of the so called smallness conditions in algebra as well as in category theory, are important a...
AbstractTwo new definitions are given for cup products in the cohomology of sheaves on an arbitrary ...
We develop the notion of essentially algebraic theories from [1]. We associate with each Grothendiec...
We develop the notion of essentially algebraic theories from [1]. We associate with each Grothendiec...
2-equivalences are described between the category of small abelian categories with exact functors, t...
AbstractLet C be a category with inverse limits. A category xis called an A-topos if there is a site...
This is the third instalment in a series of papers on algebraic set theory. In it, we develop a unif...
The Godement cosimplicial resolution is available for a wide range of categories of sheaves. In this...
We show that the Schroder-Bernstein problem has a positive solution for pseudo-injective objects in ...
Abstract. We extend Orlov’s representability theorem on the equivalence of derived categories of she...
AbstractWe prove that the 2-category of small abelian categories with exact functors is anti-equival...
We generalize the construction of the category of 1\u2013motives with torsion tM_1, by Barbieri-Vial...
AbstractTwo new definitions are given for cup products in the cohomology of sheaves on an arbitrary ...
AbstractAs Spaltenstein showed, the category of unbounded complexes of sheaves on a topological spac...
AbstractAs Spaltenstein showed, the category of unbounded complexes of sheaves on a topological spac...
Some of the so called smallness conditions in algebra as well as in category theory, are important a...
AbstractTwo new definitions are given for cup products in the cohomology of sheaves on an arbitrary ...
We develop the notion of essentially algebraic theories from [1]. We associate with each Grothendiec...
We develop the notion of essentially algebraic theories from [1]. We associate with each Grothendiec...
2-equivalences are described between the category of small abelian categories with exact functors, t...
AbstractLet C be a category with inverse limits. A category xis called an A-topos if there is a site...
This is the third instalment in a series of papers on algebraic set theory. In it, we develop a unif...
The Godement cosimplicial resolution is available for a wide range of categories of sheaves. In this...
We show that the Schroder-Bernstein problem has a positive solution for pseudo-injective objects in ...
Abstract. We extend Orlov’s representability theorem on the equivalence of derived categories of she...
AbstractWe prove that the 2-category of small abelian categories with exact functors is anti-equival...
We generalize the construction of the category of 1\u2013motives with torsion tM_1, by Barbieri-Vial...