Idealization of some weak separation axioms release_gxbtypajeje6rdt6hfw3q6w5ji

by Francisco G. Arenas, Julian Dontchev, Maria Luz Puertas

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1998  

Abstract

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, I) is a semi-Alexandroff T_ I-space and I is a τ-boundary, then I is completely codense.
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Date   1998-10-12
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arXiv  math/9810075v1
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