期刊论文详细信息
Journal of the Australian Mathematical Society
Absolutes of almost realcompactifications
Mohan L. Tikoo1 
关键词: 54 D 25;   
DOI  :  10.1017/S1446788700033668
学科分类:数学(综合)
来源: Cambridge University Press
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【 摘 要 】

Given Hausdorff spaces X and Y and a perfect irreducible and θ-continuous map f from X onto Y, technique that carries open (ultra) filters on X to open (ultra) filters on Y back and forth in a natural way is introduced. It is proved that if f is a perfect irreducible and θ-continuous map from X onto Y, then X is almost realcompact if and only if Y is almost realcompact. Several commutativity relations between the ‘absolutes of almost realcompactifications’ and the ‘almost realcompactifications of absólutes’ of a space X are discussed.

【 授权许可】

Unknown   

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