The Absolute of a Topological Space and its Application to Abelian l-groups |
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Authors: | Wolfgang Rump |
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Institution: | (1) Institute for Algebra and Number Theory, University of Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany |
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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.
Dedicated to B. V. M. |
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Keywords: | Extremally disconnected Absolute Quasicomponent Stone space Abelian l-group Strongly projectable hull |
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