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Epicompletion in Frames with Skeletal Maps, II: Compact Normal Joinfit Frames
Authors:Jorge Martínez  Eric R. Zenk
Affiliation:1. Department of Mathematics, University of Florida, Box 118105, Gainesville, FL, 32611-8105, USA
Abstract:An epireflection ψ is constructed of the category $mathfrak{KNArS}$ of compact normal joinfit frames, with skeletal maps, in the subcategory $mathfrak{SPArS}$ consisting of strongly projectable $mathfrak{KNArS}$ -objects. The construction is achieved via a pushout in the category $mathfrak{FrmS}$ of frames with skeletal maps, and involves rather intimately the regular coreflection of the object to be reflected. Further, if the regular coreflection ρ is applied to the reflection map ψ A :A?→?ψA one obtains the extension of ρA to its absolute.
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