Categorical Topology -

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Résumé :
Compactness and the Axiom of Choice.- On Categorical Notions of Compact Objects.- Reflective Relatives of Adjunctions.- The Kat?tov Dimension Proximity Spaces.- Generalized Reflective cum Coreflective Classes in Top and Unif.- On the Largest Coreflective Cartesian Closed Subconstruct of Prtop.- Topological Spaces and Quasi-Varieties.- ?-Sober Spaces via the Orthogonal Closure Operator.- Some Aspects of Topological Descent.- The Pullback Closure Operator and Generalisations of Perfectness.- A Remark on Fixed Points Functors in Topological Categories.- Concrete Categories Are Concretely Equivalent iff Their Uniquely Transportable Modifications Are Strict Concretely Isomorphic.- Connectedness, Disconnectedness and Closure Operators, a More General Approach.- Dold Type Theorems in Cubical Homotopy Theory.- A Topological Banach Space Model of Linear Logic.- Parametrizing the Theory of Closure Operators.- Tychonoff Compactifications and R-Completions of Mappings and Rings of Continuous Functions.- Disconnectedness: Two Examples.- Objects with Dense Diagonals.- Ascoli-Arzel?-Theory Based on Continuous Convergence in an (Almost) Non-Hausdorff Setting.- A Subcategory of FIL.- Epis in the Category of Pairwise-I2 Spaces.- Clone Segments in Top and in Unif.- Simultaneous Problems of Clone Segments in Top and in Unif.- List of Partipants....

Sommaire:
Compactness and the Axiom of Choice; H. Herrlich. On Categorical Notions of Compact Objects; M.M. Clementino. Reflective Relatives of Adjunctions; G. Richter. The Katetov Dimension of Proximity Spaces; H.L. Bentley, et al. Generalized Reflective cum Coreflective Classes in Top and Unif; M. Husek, A. Tozzi. On the Largest Coreflective Cartesian Closed Subconstruct of Prtop; E. Lowen-Colebunders, G. Sonck. Topological Spaces and Quasi-Varieties; M. Barr, M.C. Pedicchio. alpha-Sober Spaces via the Orthogonal Closure Operator; L. Sousa. Some Aspects of Topological Descent; M. Sobral. The Pullback Closure Operator and Generalisations of Perfectness; D. Holgate. A Remark on Fixed Points of Functors in Topological Categories; J. Ad?mek. Concrete Categories Are Concretely Equivalent iff Their Uniquely Transportable Modifications Are Strict Concretely Isomorphic; H-E. Porst. Connectedness, Disconnectedness and Closure Operators, a More General Approach; G. Castellini. Dold Type Theorems in Cubical Homotopy Theory; K.A. Hardie, et al. A Topological Banach Space Model of Linear Logic; H. Kleisli, et al. Parametrizing the Theory of Closure Operators; J. Koslowski. Tychonoff Compactifications and R-completions of Mappings and Rings of Continuous Functions; H.-P.A. K?nzi. Disconnectedness: Two Examples; H. Lord. Objects with Dense Diagonals; W. Tholen. Ascoli-Arzel?-Theory Based on Continuous Convergence in an (Almost) Non-Hausdorff Setting; R. Bartsh, et al. A Subcategory of FIL; ?. Cs?sz?r. Epis in the Category of Pairwise- I2 Spaces; J. Schr?der. Clone Segments in Top and in Unif; V. Trnkov?. Simultaneous Problems of Clone Segments in Top and in Unif; V. Trnkov?. List ofParticipants.