Colimits of representable algebra-valued functors.
Commuting Homotopy Limits.
Completions of small subcategories
Concerning Colimits in the Category of Noncommutative Algebras
Concerning the shape groups of compact metric spaces
Congruence relations on finitary models
Continuous fibrations and inverse limits of toposes
Contravariant functors on finite sets and Stirling numbers.
Coproducts in Categories without Uniqueness of cod and dom
The paper introduces coproducts in categories without uniqueness of cod and dom. It is proven that set-theoretical disjoint union is the coproduct in the category Ens [9].
Coproducts of ideal monads
The question of how to combine monads arises naturally in many areas with much recent interest focusing on the coproduct of two monads. In general, the coproduct of arbitrary monads does not always exist. Although a rather general construction was given by Kelly [Bull. Austral. Math. Soc. 22 (1980) 1–83], its generality is reflected in its complexity which limits the applicability of this construction. Following our own research [C. Lüth and N. Ghani, Lect. Notes Artif. Intell. 2309 (2002) 18–32],...
Coproducts of Ideal Monads
The question of how to combine monads arises naturally in many areas with much recent interest focusing on the coproduct of two monads. In general, the coproduct of arbitrary monads does not always exist. Although a rather general construction was given by Kelly [Bull. Austral. Math. Soc.22 (1980) 1–83], its generality is reflected in its complexity which limits the applicability of this construction. Following our own research [C. Lüth and N. Ghani, Lect. Notes Artif. Intell.2309 (2002)...
Cuadrados especiales en la categoría de álgebras de Lie.
In this paper the concepts of mixed cartesian square and quasi-cocartesian square, already known in the category of groups, are adapted to the category of Lie algebras. These concepts can be used in the study of the obstructions of Lie algebra extensions in the same way that Wu has studied the obstructions of group extensions.
Descent in categories of (co)algebras.
Direct limits and filtered colimits are strongly equivalent in all categories
Disjointness and related properties of coproducts
Embeddings into categories with fixed points in representations
Enlargements of categories.
Equalizers in the category of cocomplete cocategories.
Equivalences in presheaves, functional separation of their inductive limits and representation by sections
Espaces d'Antoine et semi-espaces d'Antoine