On Agreement of Isbell and Scott Topologies on Domain Function Spaces
Received:September 20, 2006  Revised:July 13, 2007
Key Words: DCPO   Isbell topology   Scott topology   Scott open filters subbase.  
Fund Project:the National Natural Science Foundation of China (No.10571112); the National Key Project of Fundamental Research (No.2002CB312200).
Author NameAffiliation
XI Xiao Yong College of Mathematics and Information Science, Shaanxi Normal University, Shaanxi 710062, China
College of Mathematics Science, Xuzhou Normal University, Jiangsu 221009, China 
LI Yong Ming College of Computer Science, Shaanxi Normal University, Shaanxi 710062, China 
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Abstract:
      In this paper, the agreement of Isbell and Scott topologies on the Domain function spaces is discussed. In terms of Domain function spaces, a non-continuous DCPO with Scott open filters as a subbase of Scott topology is given.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.04.023
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