The Mathematical Education (한국수학교육학회지시리즈A:수학교육)
- Volume 21 Issue 1
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- Pages.19-21
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- 1982
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- 1225-1380(pISSN)
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- 2287-9633(eISSN)
A Study on z-S-closed Spaces
Abstract
In this paper, we define the z-S-closed spaces using the notions of zero-sets and S-closed spaces introduced by T. Thompson, and investigate some properties of these spaces. We also obtain the following results. If a space X is z-S-closed, then every cover of z-regular semiopen sets has a finite proximate subcover. A z-extremally disconnected z-QHC space is z-S-closed, z-S-closed is contagious.
Keywords