대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제22권4호
  • /
  • Pages.569-573
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  • 2007
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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REMARKS ON K-STARCOMPACT SPACES

  • Song, Yan-Kui (Institute of Mathematics School of Mathematics and Computer Sciencs Nanjing Normal University)
  • 발행 : 2007.10.31
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초록

In this note, we construct an example of a Hausdorff K-starcompact (hence, $1\frac{1}{2}$-star-compact) space X having a regular closed $G_{\delta}-subset$ which is not $1\frac{1}{2}$-starcompact (hence, not K-starcompact).

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참고문헌

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  2. R. Engelking, General topology, revised and completed edition, Heldermann Verlag, Berlin, 1989
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  4. M. V. Matveev, A survey on star-covering properties, Topological Atlas, pre print No 330, 1998
  5. S. Mrowka, On complete regular spaces, Fund. Math. 41 (1954), 105-106
  6. Y.-K. Song, On some questions on star covering properties, Q and A in General Topology 18 (2000), 87-92
  7. Y.-K. Song, A study of star-covering properties in topological spaces, Ph. D. Thesis, Shizuoka University, Japan, 2000