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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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