Some Properties on the Relation of GO-space and Cardinal |
Received:March 08, 2001 |
Key Words:
GO-space LOTS regular uncountable cardinal normality.
|
Fund Project: |
|
Hits: 2467 |
Download times: 930 |
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 |
View Full Text View/Add Comment |