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Characterizations and functions of semicontinuous lattices. (Chinese) Zbl 1141.06305
Summary: In this paper, we mainly discuss some properties of semicontinuous lattices and give characterizations of semicontinuous lattices. We also define functions between two semicontinuous lattices and obtain conditions under which the image of a closure operator is also semicontinuous. Finally we study a property of fixed points of semicontinuous lattices.
MSC:
06B35Continuous lattices and posets, applications