|Table of Contents|

Continuous Pre-ordered Sets(PDF)

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

Issue:
2009年01期
Page:
16-21
Research Field:
数学
Publishing date:

Info

Title:
Continuous Pre-ordered Sets
Author(s):
Zhao Na; He Wei
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
Keywords:
continuous pre-orde red sets;  Sco tt continuous func tions;  sm a ll category
PACS:
O153.1
DOI:
-
Abstract:
The concept of continuous pre-orde red sets and its bas ic properties a re introduced. It is show ed that the category CPOSET of continuous posets and Sco tt continuous func tions is a re flective subcategory of the catego ry CPRSET o f continuous pre-o rdered sets and Scott con tinuous functions

References:

[ 1] G ierz G, H ofm ann K H, Ke im e lK, et a .l A Com pend ium o f Continuous Lattices[M ] . New Yo rk: Spr ing er-Ve rlag, 1980.
[ 2] E lias Dav id. Sco tt space and sober spaces[ J] . Topo logy and Its App lications, 2000, 100( 2): 93-101.
[ 3] H eW e.i Category Theory[M ] . B eijing: Sc ience Press, 2006.
[ 4] Jiri Adam ek, H o rst H errlich, Georg e E Strecker. Abstrac t and Concrete Catrgor ies[M ] . N ew York: A W iley- Inte rscience
Pub lication, 1990.

Memo

Memo:
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Last Update: 2013-04-23