On categorical notions of compact objects
Copyright policy )On categorical notions of compact objects
The concept of compactness has found various categorical generalizations. In this paper the author studies two such -- seemingly unrelated -- concepts: Borel-Lebesgue-compactness, based on the concept of a closure operator, an Áhn-Wiegandt-compactness, based on the bahaviour of certain morphisms with respect to projective limits. The main result establishes that in convenient settings each Áhn-Wiegandt-compactness is a Borel-Lebesgue-compactness.
- University of Coimbra Portugal
Compactness, projective limit, Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.), factorization system, Categorical methods in general topology, Categories of topological spaces and continuous mappings, closure operator
Compactness, projective limit, Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.), factorization system, Categorical methods in general topology, Categories of topological spaces and continuous mappings, closure operator
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