Category theory : applications to algebra, logic, and topology : proceedings of the international conference held at Gummersbach, July 6-10, 1981 / edited by K.H. Kamps, D. Pumplün, and W. Tholen.

Contributor(s): Kamps, Klaus Heiner | Pumplün, D. (Dieter), 1932- | Tholen, W. (Walter), 1947- | International Conference on Category Theory: Applications to Algebra, Logic, and Topology (1981 : Gummersbach, Germany)
Material type: TextTextLanguage: English, French Series: Lecture notes in mathematics (Springer-Verlag): 962.Publisher: Berlin ; New York : Springer-Verlag, 1982Description: 1 online resource (xv, 322 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540395508; 3540395504Subject(s): Categories (Mathematics) -- Congresses | Catégories (Mathématiques) -- Congrès | Categories (Mathematics) | Kategorie (Mathematik) | Kategorientheorie | Theorie | Algebraische Topologie | Kategorie (Mathematik)Genre/Form: Kongreß -- Gummersbach -- 1981. | Electronic books. | Conference papers and proceedings. | Kongress. Additional physical formats: Print version:: Category theory.DDC classification: 512.62 LOC classification: QA169 | .C38 1982ebQA3 | .L28 no. 962 | QA169Other classification: SI 850 | MAT 180f Online 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.
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"International Conference on Category Theory: Applications to Algebra, Logic, and Topology"--Preface.

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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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