Samuel compactification and uniform coreflection of nearness σ-frames
We introduce the structure of a nearness on a σ-frame and construct the coreection of the category N σ Frm of nearness σ-frames to the category KReg σ Frm of compact regular σ-frames. This description of the Samuel compactification of a nearness σ-frame is in analogy to the construction by Baboolal and Ori for nearness frames in  and that of Walters for uniform σ-frames in . We also construct the uniform coreflection of a nearness σ-frame, that is, the coreflection of the category of N σ Frm to the category U σ Frm of uniform σ-frames.
Keywordsσ-frame nearness Samuel compactification
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