篇名 | Some Types of Separation Axioms in Topological Spaces |
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卷期 | 28:3 |
作者 | Alias Barakat Khalaf 、 Halgwrd Mohammed Darwesh |
頁次 | 303-326 |
關鍵字 | !-open set 、 !-regular 、 Completely !-regular 、 !-normal |
出刊日期 | 201208 |
In this paper, we introduce some types of separation axioms via !-open sets, namely !-regular, completely !-regular and !-normal space and investigate their fundamental properties, relationships and characterizations. The well-known Urysohn's Lemma and Tietze Extension Theorem are generalized to !-normal spaces. We improve some known results. Also, some other concepts are generalized and studied via !-open sets.