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

Title & Authors
ON $\small{\mathcal{I}}$-SCATTERED SPACES
Li, Zhaowen; Lu, Shizhan;

Abstract
In this paper, $\small{\mathcal{I}}$-scattered spaces are introduced, and their characterizations and properties are given. We prove that (X, $\small{{\tau}}$) is scattered if and only if (X, $\small{{\tau}}$, $\small{\mathcal{I}}$) is $\small{\mathcal{I}}$-scattered for any ideal $\small{\mathcal{I}}$ on X.
Keywords
ideals;scattered spaces;I-scattered spaces;*-isolated points;*-derived sets;*-dense sets;*-closed mappings;topological sums;
Language
English
Cited by
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