# ON $\mathcal{I}$-SCATTERED SPACES

• Li, Zhaowen ;
• Lu, Shizhan
• Published : 2014.05.31
• 48 6

#### 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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