Title
Dcpo-completion of posets
Abstract
We introduce a new type of dcpo-completion of posets, called D-completion. For any poset P, the D-completion exists, and P and its D-completion have the isomorphic Scott closed set lattices. This completion is idempotent. A poset P is continuous (algebraic) if and only if its D-completion is continuous(algebraic). Using the D-completion, we construct the local dcpo-completion of posets, that revises the one given by Mislove. In the last section, we define and study bounded sober spaces.
Year
DOI
Venue
2010
10.1016/j.tcs.2010.02.020
Theoretical Computer Science
Keywords
DocType
Volume
D-completion,Continuous poset,Continuous dcpo,Local dcpo
Journal
411
Issue
ISSN
Citations 
22
0304-3975
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Dongsheng Zhao1646.88
Taihe Fan2358.18