caa a22 4500 445379014 CHVBK 20180317143011.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10485-009-9216-1 doi (NATIONALLICENCE)springer-10.1007/s10485-009-9216-1 Thoughts on Quotient-fine Nearness Frames [Elektronische Daten] [Themba Dube, Martin Mugochi] We characterize nearness frames whose completions are fine (we call them quotient-fine), and show that the subcategory QfNFrm they form is reflective in the category of strong nearness frames. The resulting functor commutes with the completion functor. QfNFrm is isomorphic to the subcategory of the functor category (RegFrm)2 given by the dense onto $h\colon M\to L$, where 2 denotes the category with only two objects and exactly one morphism between them. Springer Science+Business Media B.V., 2009 Nearness frame nationallicence Strong nearness frame nationallicence Quotient-fine nearness frame nationallicence Reflective subcategory nationallicence Dube Themba Department of Mathematical Sciences, University of South Africa, P.O. Box 392, 0003, Unisa, South Africa aut Mugochi Martin Department of Mathematics, University of Namibia, P.O. Box 13301, Windhoek, Namibia aut Applied Categorical Structures Springer Netherlands 19/2(2011-04-01), 511-521 0927-2852 19:2<511 2011 19 10485 https://doi.org/10.1007/s10485-009-9216-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-009-9216-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dube Themba Department of Mathematical Sciences, University of South Africa, P.O. Box 392, 0003, Unisa, South Africa aut NATIONALLICENCE 700 1- Mugochi Martin Department of Mathematics, University of Namibia, P.O. Box 13301, Windhoek, Namibia aut NATIONALLICENCE 773 0- Applied Categorical Structures Springer Netherlands 19/2(2011-04-01), 511-521 0927-2852 19:2<511 2011 19 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer