caa a22 4500 465811426 CHVBK 20180323112117.0 cr unu---uuuuu 170327e19900901xx s 000 0 eng 10.1007/BF02108199 doi (NATIONALLICENCE)springer-10.1007/BF02108199 Maokang Luo Institute of Mathematics, Sichuan University, China aut Lattice-valued semicontinuous mappings and induced topologies [Elektronische Daten] [Luo Maokang] Lattice-valued semicontinuous mappings play a basic and important role in solving the problems ofL-fuzzy compactification theory, and make the previous work on weakly induced spaces and induced spaces determinatively generalized and strengthened. Moreover, we can describe the complete distributivity of lattices with them as well. In this paper, we give the mutually descriptive relation between lattice-valued semicontinuous mappings and the complete distributivity of lattices, and the construction theorems of open sets and closed sets in lattice-valued fully stratified spaces, weakly induced spaces and induced spaces (they are calledS-spaces). Furthermore, we will investigate the structure of the co-topology ofS-space, solve a series of interesting problems on product,N-compactness and metrization ofS-spaces. Springer-Verlag, 1990 Acta Mathematica Sinica Springer-Verlag 6/3(1990-09-01), 193-205 1439-8516 6:3<193 1990 6 10114 https://doi.org/10.1007/BF02108199 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02108199 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Maokang Luo Institute of Mathematics, Sichuan University, China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica Springer-Verlag 6/3(1990-09-01), 193-205 1439-8516 6:3<193 1990 6 10114 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer