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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Martínez, J., Zenk, E.R. Epicompletion in Frames with Skeletal Maps, II: Compact Normal Joinfit Frames. Appl Categor Struct 17, 467–486 (2009). https://doi.org/10.1007/s10485-007-9120-5
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DOI: https://doi.org/10.1007/s10485-007-9120-5