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《Journal of Anhui Normal University(Natural Science)》 1990-01
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On Kuratowski Closure and mplement Problem

Yao Jingsun (Department of Mathematics)  
In this paper, We study the characterization of most variability set in the connected topological space and its existence. We obtian that 1. Let X be a connected topological space, AX. Then A is a most va-riability set if and only. if set A satisfies following conditions:(i)There exists a open set BX such that B∩A is nonempty and nowhere dense.(ii)There exists a open set CX such that C∩Ac is nonempty. and nowhere dense.(iii)The boundary of A contains a nonempty open set. 2. Let X be a connected T_1-space, then X has most variability set if and only if there exist closed sets H_1, H_2, H_3, with following conditions:(i)The interior of H_i is nonempty for cach i j=1, 2, 3.(ii)j=1, 2, 3. (iii)H_3 is resolvable.
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【References】
Chinese Journal Full-text Database 1 Hits
1 Huang Baojun (Department of mathematics);On the MC of Kuratowshi question[J];淮北煤师院学报(自然科学版);1991-03
【Co-references】
Chinese Journal Full-text Database 1 Hits
1 Yao Jingsun (Department of Mathematics);On Kuratowski Closure and mplement Problem[J];安徽师大学报(自然科学版);1990-01
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