Consistently Semicontinuous Dcpo
School of Mathematical Science, Huaibei Normal University, Huaibei 235000 Anhui, China
In this paper, the concept of consistently semicontinuous dcpo is given,then some properties of them are discussed, especially, equivalent characterizations between consistently semicontinuous dcpo and the smallest consistently semi-prime set is given. Finally the concept of consistently semicontinuous mapping is given, and the connection between consistently dcpo and consistently semicontinuous dcpo on the base of consistently semicontinuous mapping is given.
Key words: Consistently Semi-prime set / Consistently Semicontinuous Dcpo / Consistently Semicontinuous map
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