Characterizations of ideal weakly $\delta \theta$-refinable spaces
Bull. Korean Math. Soc. 1999 Vol. 36, No. 1, 33-45
Myung-Hyun Cho
Wonkwang University
Abstract : In this paper, we are interested in studying weak covering properties in the presence of a countable compact condition. The purpose of this paper is to characterize an ideal weakly $\delta\theta$-refinable space and to show that every ideal weakly $\delta \theta$-refinable space is isocompact. Also, we consider the behavior under mappings of ideal weakly $\delta \theta$-refinable properties and productivity of ideal weakly $\delta \theta$-refinable properties.
Keywords : isocompact, neat, penetrable, pure, ultrapure, weakly star reducible, weak $\delta\theta$-refinement
MSC numbers : 54D20, 54D30
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