The Representation Theorem on the Category of FTML(L)

摘要

The theory of L-Fuzzy topological molecule lattices is the generalization theory of topological molecule lattices. The characteristic of category of L-Fuzzy topological molecule lattices must be given a straightforward description. In this paper, a representation theorem about the category of L-Fuzzy topological molecule lattices is proved: The category of L-Fuzzy topological molecule lattices is equal to that the category of FSTS(L) which consists of L-fuzzifying scott topological space and the L-fuzzifying continuous mapping of orientation-join preserving and the relation of way-below preserving. Using it as the deduction of this theorem, a representation theorem about the category of topological molecule lattices is obtained.