Idealization of Some Weak Separation Axioms
Idealization of Some Weak Separation Axioms
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DOI：
10.1023/a:1026773308067
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发表时间：
1998-10
影响因子：
0.9
通讯作者：
F. G. Arenas;J. Dontchev;M. L. Puertas
中科院分区：
文献类型：
--
作者：
F. G. Arenas;J. Dontchev;M. L. Puertas
理想是在遗传性和有限可加性下闭合的子集的非空集合。本文的目的是通过拓扑理想统一一些弱分离性质。我们将注意力集中在 T0 和 T1/2 之间的分离公理上。我们证明如果(X,τ,I)是半AlexandroffTI空间且I是τ边界，则I是完全码密的。
An ideal is a nonempty collection of subsets closed under heredity and finite additivity. The aim of this paper is to unify some weak separation properties via topological ideals. We concentrate our attention on the separation axioms betweenT0andT1/2. We prove that if (X,τ,I) is a semi-AlexandroffTI-space andIis a τ-boundary, thenIis completely codense.