Some Properties on the Relation of GO-space and Cardinal
Received:March 08, 2001  
Key Words: GO-space   LOTS   regular uncountable cardinal   normality.  
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Author NameAffiliation
MA Li-wen School of Science
Beijing Unviersity of Post and Telecommunication
Beijing
China 
WANG Shang-zhi Dept. of Math.
Captial Normal University
China 
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Abstract:
      In this paper, we generalize the result that every GO-space is countably-paracompact and prove that every GO-space is < inf {cfx ≥ <ω1:x∈[LX- X]} -paracom-pact. We obtain that under the normality of product of a topological space and a GO-space and the normality of product of the topological space and a regular uncountable cardinal are equivalent. Based on this two thereoms, we deduce some important theorems.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.04.019
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