Category Theory

A note on the homology of regular nearness spaces....Pages 1-7
The symmetry of the Cauchy-completion of a category....Pages 8-12
On algebraic localizations....Pages 13-22
A canonical action on indexed limits an application to coherent homotopy....Pages 23-32
A remark on cartesian closedness....Pages 33-38
Crossed complexes and non-abelian extensions....Pages 39-50
Un critere de representabilite par sections continues de faisceaux....Pages 51-61
Kan extensions and systems of imprimitivity....Pages 62-68
Smooth structures....Pages 69-81
Enriched algebras, spectra and homotopy limits....Pages 82-99
General construction of monoidal closed structures in topological, uniform and nearness spaces....Pages 100-114
The fundamental groupoid and the homotopy crossed complex of an orbit space....Pages 115-122
Minimal topological completion of K Ban 1 → K Vec....Pages 123-132
On the freeness of Whitehead-diagrams....Pages 133-137
Applications of category theory to uniform structures....Pages 138-144
A categorical framework for interpolation theory....Pages 145-152
Toposes are monadic over categories....Pages 153-166
Essentially monadic adjunctions....Pages 167-174
Decomposition of morphisms into infinitely many factors....Pages 175-189
Remarks on radicals in categories....Pages 190-196
On the structure of factorization structures....Pages 197-208
A remark on scattered spaces....Pages 209-212
Bornological L 1 -functors as Kan extensions and Riesz-like representations....Pages 213-220
Exactness and projectivity....Pages 221-227
Constructive arithemtics....Pages 228-236
Adjoint diagonals for topological completions....Pages 237-248
Internal categories and crossed modules....Pages 249-255
Subdirect irreducibility and congruences....Pages 256-262
Algebraic categories of topological spaces....Pages 263-271
Extensions of a theorem of p.gabriel....Pages 272-281
Characterization of bicategories of stacks....Pages 282-291
On hom-functors and tensor products of topological vector spaces....Pages 292-301
Unnatural isomorphisms of products in a category....Pages 302-311
Categories of kits, coloured graphs, and games....Pages 312-322