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On first countable and minimal topological spaces | ||
| AL-MANSOUR JOURNAL | ||
| Article 1, Volume 0, Issue 11, 2017, Pages 43-55 | ||
| Authors | ||
| Gameel Mahmoud Gameel; Naji Muttar Saheab | ||
| Abstract | ||
| In this paper, we study the concept of minimal topological spaces and its relation with first countable space, we prove that if X is first countable completely regular space, then the following are equivalent. • X is first countable and minimal completely regular space. • X is first countable and completely regular – closed space. A first countable and minimal Urysohn is semi regular and Let be a collection of a topological spaces and , then X is first countable and Hausdorff – closed if and only if each x(n) is first countable and Hausdorff – closed | ||
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