Abstract
We give a axiomatic treatment of the absolute in the category of all topological spaces and characterize it as a cover with respect to the full subcategory of extremally disconnected spaces. As an application, we obtain the strongly projectable hull of an abelian l-group as a unique lifting of the absolute of its spectrum.
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Rump, W. The Absolute of a Topological Space and its Application to Abelian l-groups. Appl Categor Struct 17, 153–174 (2009). https://doi.org/10.1007/s10485-008-9133-8
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DOI: https://doi.org/10.1007/s10485-008-9133-8