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Some Notes on Continuous Posets(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2008年01期
Page:
21-25
Research Field:
数学
Publishing date:

Info

Title:
Some Notes on Continuous Posets
Author(s):
Fan Lihong;  He Wei
School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China
Keywords:
continuous pose t;  Cartesian product;  a lgebra ic pose t
PACS:
O153.1
DOI:
-
Abstract:
In this pape r, w e investigate the o rder structure-continuous poset, a generalization o f a continuous dcpo ( .i e. , dom a in). The Cartes ian product o f continuous posets is stud ied. Some other properties o f continuous posets and algebraic posets a re g iv en. Som e equ iva lent cha racte rization o f continuous po sets is g iven

References:

[ 1] Scott D S. Continuous Lattices[M ] / / Lecture Notes inM athem atics. Berlin: Spr inger-Ve rlag, 1972, 274: 97-136.
[ 2] G ierz G, H o ffm ann K H, Ke im e l K, et a .l Continuous Lattices and Dom a ins[M ] . Cambr idg e: Cambr idg e Un iv Press, 2003.
[ 3] H rbacek K. Continuous com pletions[ J]. A lgebra Un iversa lis, 1991, 28( 2): 230-244.
[ 4] G ierz G, H offm ann K H, Keim e lK, e t a.l A Com pendium o f Continuous Lattices[M ]. Ber lin: Springer-Verlag, 1980.

Memo

Memo:
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Last Update: 2013-05-05