Category Theory

Inhaltsverzeichnis

• A note on the homology of regular nearness spaces.
• The symmetry of the Cauchy-completion of a category.
• On algebraic localizations.
• A canonical action on indexed limits an application to coherent homotopy.
• A remark on cartesian closedness.
• Crossed complexes and non-abelian extensions.
• Un critere de representabilite par sections continues de faisceaux.
• Kan extensions and systems of imprimitivity.
• Smooth structures.
• Enriched algebras, spectra and homotopy limits.
• General construction of monoidal closed structures in topological, uniform and nearness spaces.
• The fundamental groupoid and the homotopy crossed complex of an orbit space.
• Minimal topological completion of KBan1? KVec.
• On the freeness of Whitehead-diagrams.
• Applications of category theory to uniform structures.
• A categorical framework for interpolation theory.
• Toposes are monadic over categories.
• Essentially monadic adjunctions.
• Decomposition of morphisms into infinitely many factors.
• Remarks on radicals in categories.
• On the structure of factorization structures.
• A remark on scattered spaces.
• Bornological L1-functors as Kan extensions and Riesz-like representations.
• Exactness and projectivity.
• Constructive arithemtics.
• Adjoint diagonals for topological completions.
• Internal categories and crossed modules.
• Subdirect irreducibility and congruences.
• Algebraic categories of topological spaces.
• Extensions of a theorem of p. gabriel.
• Characterization of bicategories of stacks.
• On hom-functors and tensor products of topological vector spaces.
• Unnatural isomorphisms of products in a category.
• Categories of kits, coloured graphs, and games.