摘要：In analogy to a result due to Drake and Thron about topological spaces, thispaper studies the dcpos (directed complete posets) which are fully determined,among all dcpos, by their lattices of all Scott-closed subsets (such dcpos willbe called $C_{\sigma}$-unique). We introduce the notions of down-linear element and quasicontinuous elementin dcpos, and use them to prove that dcpos of certain classes, including allquasicontinuous dcpos as well as Johnstone's and Kou's examples, are$C_{\sigma}$-unique. As a consequence, $C_{\sigma}$-unique dcpos with theirScott topologies need not be bounded sober.
