摘要
Recently, the following two problems have been posed in [1]:(ⅰ) When is ω_L (J) an algebraic lattice?(ⅱ) When is ω_L (J) a completely distributive lattice? where ω_L (J)denotes the family of all continuous functions from the topological space (X, J) to the completely distributive lattice L with upper topology (i. e. L has topological subbases of the form { L - ↓x: x∈L}).