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Injective hulls of certain discrete metric spaces and groups
Injective hulls certain discrete metric spaces and groups Group Theory
2011/9/23
Abstract: Injective metric spaces, or absolute 1-Lipschitz retracts, share a number of properties with CAT(0) spaces. Isbell showed that every metric space X has an injective hull E(X). We prove that ...
An example of Melkersson subcategory which is not closed under injective hulls
Melkersson subcategory injective hulls
2010/11/12
The Melkersson subcategory is a special Serre subcategory. It was proved that a Serre subcategory which is closed under injective hulls is a Melkersson subcategory. However, it has been an open quest...