Cauchy completions of nearness frames
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Publication:1909231
DOI10.1007/BF00872906zbMath0856.54029MaRDI QIDQ1909231
Young Kyoung Kim, Sung Sa Hong
Publication date: 29 April 1996
Published in: Applied Categorical Structures (Search for Journal in Brave)
nearness frameregular Cauchy filterCauchy complete nearness framesCauchy complete strong nearness framesCauchy homomorphisms
Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Nearness spaces (54E17) Distributive lattices (06D99)
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Entourages, density, Cauchy maps, and completion ⋮ An asymmetric approach to filters in strict extensions and quotients ⋮ Pseudocompleteness in the category of locales ⋮ A method for constructing coreflections for nearness frames. ⋮ ON THE COMPLETION OF NEARNESS FRAMES
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