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http://dx.doi.org/10.4134/BKMS.2014.51.3.667

ON $\mathcal{I}$-SCATTERED SPACES  

Li, Zhaowen (School of Science Guangxi University for Nationalities)
Lu, Shizhan (School of Science Guangxi University for Nationalities)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.3, 2014 , pp. 667-680 More about this Journal
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.
Keywords
ideals; scattered spaces; I-scattered spaces; *-isolated points; *-derived sets; *-dense sets; *-closed mappings; topological sums;
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