Ebook: Categorical Topology: Proceedings of the L’Aquila Conference (1994)

This volume contains carefully selected and refereed papers presented at the International Workshop on Categorical Topology, held at the University of L'Aquila, L'Aquila, Italy from August 31 to September 4, 1994.
This collection represents a wide range of current developments in the field, and will be of interest to mathematicians whose work involves category theory.

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This volume contains carefully selected and refereed papers presented at the International Workshop on Categorical Topology, held at the University of L'Aquila, L'Aquila, Italy from August 31 to September 4, 1994.
This collection represents a wide range of current developments in the field, and will be of interest to mathematicians whose work involves category theory.
Content:
Front Matter....Pages i-vii
Compactness and the Axiom of Choice....Pages 1-14
On Categorical Notions of Compact Objects....Pages 15-29
Reflective Relatives of Adjunctions....Pages 31-41
The Kat?tov Dimension of Proximity Spaces....Pages 43-55
Generalized Reflective cum Coreflective Classes in Top and Unif....Pages 57-68
Topological Spaces and Quasi-Varieties....Pages 69-79
?-Sober Spaces via the Orthogonal Closure Operator....Pages 81-85
Some Aspects of Topological Descent....Pages 87-95
The Pullback Closure Operator and Generalisations of Perfectness....Pages 97-106
A Remark on Fixed Points of Functors in Topological Categories....Pages 107-120
Concrete Categories Are Concretely Equivalent iff Their Uniquely Transportable Modifications Are Strict Concretely Isomorphic....Pages 121-126
Connectedness, Disconnectedness and Closure Operators, A More General Approach....Pages 127-128
Dold Type Theorems in Cubical Homotopy Theory....Pages 129-138
A Topological Banach Space Model of Linear Logic....Pages 139-154
Parametrizing the Theory of Closure Operators....Pages 155-162
Tychonoff compactifications and R-completions of mappings and rings of continuous functions....Pages 163-174
Disconnectednesses: Two Examples....Pages 175-201
Objects with dense diagonals....Pages 203-212
Ascoli-Arzel?-Theory based on continuous convergence in an (almost) non-Hausdorff setting....Pages 213-220
A Subcategory of FIL....Pages 221-240
Clone segments in Top and in Unif....Pages 241-244
Simultaneous problems of clone segments in Top and in Unif....Pages 245-248
Back Matter....Pages 249-268
....Pages 269-278