(Sub)fit biframes and non-symmetric nearness

Abstract

The non-symmetric (quasi-)nearness and its generalized admissibility are studied both in its biframe and paircovers aspect and in the perspective of entourages. The necessary and sufficient condition for a biframe to carry such an enrichment is shown to be a biframe variant of subfitness (resp. fitness, in the hereditary case). (C) 2014 Elsevier B.V.

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Keywords

• Frame
• Locale
• Sublocale lattice
• Biframe
• Fitness and subfitness
• Paircover
• Entourage
• Nearness
• Quasi-nearness