Characterizations of Effective Sets and Nonexpansive Multipliers in Conditionally Complete and Infinitely Distributive Partially Ordered Sets
نویسندگان
چکیده
First, we establish a useful characterization of effective sets in conditionally complete partially ordered sets. Then, we prove that each maximal nonexpansive partial multiplier on a conditionally complete and infinitely distributive partially ordered set with upper bounded centre is inner. Finally, we show that some analogous results hold for T1-families of sets partially ordered by inclusion.
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