Idealization of some weak separation axioms

Details Idealization of some weak separation axioms Idealization of some weak separation axioms

1998-10-12

arxiv.org/abs/math/9810075v1

Mathematics

General Topology

9 pages

Scientific paper

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 $(X,\tau,{\cal I})$ is a semi-Alexandroff $T_{\cal I}$-space and $\cal I$ is a $\tau$-boundary, then $\cal I$ is completely codense.

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