\(L\)-fuzzifying topologies as \(L\)-topologies (Q1349209)

The author proves that, for every completely distributive complete lattice \(L\) with a locally multiplicative way below relation, the category of \(L\)-fuzzifying topological spaces can be embedded in the category of stratified \(L\)-topological spaces as a simultaneously bireflective and bicoreflective full subcategoy. He also gives several equivalent descriptions of this subcategory.