In this short note we show that $ E_\infty $ quasi-categories can be replaced by strictly
commutative objects in the larger category of diagrams of simplicial sets indexed by finite …

We prove that the 2-category of skeletally small abelian categories with exact monoidal
structures is anti-equivalent to the 2-category of fp-hom-closed definable additive categories …

We show that the idempotent completion of a triangulated category has a natural structure of
a triangulated category. The idempotent completion of the bounded derived category of an …

We introduce the notion of a definable category–a category equivalent to a full subcategory
of a locally finitely presentable category that is closed under products, directed colimits and …

We introduce pseudocubical objects with pseudoconnections in an arbitrary category,
obtained from the Brown-Higgins structure of a cubical object with connections by suitably …

Comparing Classes of Finite Structures Page 1 Algebra and Logic, Vol. 43, No. 6, 2004
COMPARING CLASSES OF FINITE STRUCTURES W. Calvert, D. Cummins, JF Knight, and S …

In this thesis we study torsion theory, subobjects and filtration properties in quasi-abelian,
exact and right triangulated categories. All such categegories fit into the larger framework of …

Following on from results of Hofmann [27], we investigate the extension of the theory of
natural dualities to quasivarieties generated by finite structures that can have operations …

Relative theories (= closed subfunctors) are considered in exact, triangulated and
extriangulated categories by Dräxler-Reiten-Smalø-Solberg-Keller, Beligiannis and …

It is shown that the idempotent completion of the additive hull of the tensor product of the
residue category of the category of paths of a locally finite quiver modulo an admissible ideal …