A categorical equivalence between L-continuous lattices and continuous generalized L-closure spaces
摘要
The main purpose of this paper is to establish a link between L-continuous lattices and L-closure spaces. More precisely, by introducing the notions of continuous L-generalized closure spaces and L-approximable maps, a categorical equivalence between the category of L-continuous lattices with L-Scott continuous maps and that of continuous generalized L-closure spaces with L-approximable maps will be presented.