Idealization of some weak separation axioms

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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 between $T_0$ and $T_2$. We prove that if $(X,τ,{\cal I})$ is a semi-Alexandroff $T_{\cal I}$-space and $\cal I$ is a $τ$-boundary, then $\cal I$ is completely codense.
9 pages

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General Topology, 54A05; 54D10; 54D30; 54H05

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http://salesiana.dossiersoluciones.com/handle/123456789/77543

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9810075
 http://arxiv.org/abs/math/9810075

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arXiv