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SOME PROBLEMS ON THE LATTICE-VALUED LOWER SEMICONTINUOUS FUNCTIONS

SOME PROBLEMS ON THE LATTICE-VALUED LOWER SEMICONTINUOUS FUNCTIONS
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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}).
作者 李永明
出处 《Chinese Science Bulletin》 SCIE EI CAS 1992年第14期1228-1229,共2页
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