Category Theory [electronic resource] : Applications to Algebra, Logic and Topology Proceedings of the International Conference Held at Gummersbach, July 6–10, 1981 / edited by Klaus Heiner Kamps, Dieter Pumplün, Walter Tholen.

Contributor(s): Kamps, Klaus Heiner [editor.] | Pumplün, Dieter [editor.] | Tholen, Walter [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 962Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1982Description: XVIII, 326 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540395508Subject(s): Mathematics | K-theory | Logic, Symbolic and mathematical | Topology | Mathematics | K-Theory | Mathematical Logic and Foundations | TopologyAdditional physical formats: Printed edition:: No titleDDC classification: 512.66 LOC classification: QA612.33Online resources: Click here to access online
Contents:
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.
In: Springer eBooks
Item type: E-BOOKS
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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.

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