ANALYTIC AND TOPOLOGICAL CHARACTERIZATIONS OF COMPLETELY DISTRIBUTIVE LAW
刘应明, 罗懋康, 彭谦 · Chinese Science Bulletin · 1990
Using an algebraic property, the completely distributive law, we have ever given out a characterization of the semicontinuity of lattice-valued mappings. How about the inverse implication? That is to say, can we analytically characterize the completely distributive law? Moreover, can we characterize the completely distributive law in terms of fuzzy topology? The purpose of this note is to answer affirmatively these questions for the infinitely distributive lattices. This study connecting algebra with analysis and topology seems to be rather interesting.