Epicompletion in Frames with Skeletal Maps, IV: *-Regular Frames |
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Authors: | Jorge Martínez |
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Institution: | 1. Department of Mathematics, University of Florida, Box 118105, Gainesville, FL, 32611-8105, USA
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Abstract: | Earlier work has shown that there is a monoreflection ψ of the category of compact normal, joinfit frames with skeletal frame maps in the subcategory consisting of strongly projectable
frames. This article extends the domain of ψ to the *-regular frames. The saturation nucleus s is a reflection with respect to weakly closed frame maps, in the subcategory of subfit frames. Moreover, s·ψ = ψ·s, on compact normal, joinfit frames with skeletal, weakly closed frame maps, and s·ψ is an epireflection, but not a monoreflection, in the subcategory of strongly projectable, regular frames, all of which are
epicomplete. |
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