Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON $\mathcal{I}$-SCATTERED SPACES

  • Li, Zhaowen (School of Science Guangxi University for Nationalities) ;
  • Lu, Shizhan (School of Science Guangxi University for Nationalities)
  • Received : 2013.01.22
  • Published : 2014.05.31
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Abstract

In this paper, $\mathcal{I}$-scattered spaces are introduced, and their characterizations and properties are given. We prove that (X, ${\tau}$) is scattered if and only if (X, ${\tau}$, $\mathcal{I}$) is $\mathcal{I}$-scattered for any ideal $\mathcal{I}$ on X.

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References

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