Category Theory: Applications to Algebra, Logic and Topology

ISBN-13: 9783540119616 / Angielski / Miękka / 1982 / 340 str.

K. H. Kamps; D. Pumpla1/4n; W. Tholen

Spis treści

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.