Categorical Topology

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-Arzelá-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.