caa a22 4500 467882525 CHVBK 20180406152724.0 cr unu---uuuuu 170328e20060601xx s 000 0 eng 10.1007/s10485-006-9023-x doi (NATIONALLICENCE)springer-10.1007/s10485-006-9023-x Schauerte Anneliese Department of Mathematics and Applied Mathematics, University of Cape Town, 7701, Rondebosch, South Africa aut Notions of Local Compactness and Smallest Compactifications of Biframes [Elektronische Daten] [Anneliese Schauerte] The category of coherent biframes is shown to be equivalent to that of the coupled lattices, and dually equivalent to the spectral bispaces. Stably continuous biframes arise as the retracts of the coherent biframes. The coherent and the stably continuous biframes are coreflective in all biframes. Weak local compactness is introduced, and in conjunction with regularity, is shown to be sufficient for the construction of smallest compactifications. Springer Science + Business Media B.V., 2006 coherent nationallicence (stably) continuous nationallicence weakly locally compact nationallicence biframe nationallicence spectral bitopological space nationallicence continuous lattice nationallicence smallest compactification nationallicence Applied Categorical Structures Kluwer Academic Publishers 14/3(2006-06-01), 259-272 0927-2852 14:3<259 2006 14 10485 https://doi.org/10.1007/s10485-006-9023-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-006-9023-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Schauerte Anneliese Department of Mathematics and Applied Mathematics, University of Cape Town, 7701, Rondebosch, South Africa aut NATIONALLICENCE 773 0- Applied Categorical Structures Kluwer Academic Publishers 14/3(2006-06-01), 259-272 0927-2852 14:3<259 2006 14 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer