We introduce and investigate three topological spaces (X,Lm), (X,Lmc) and (X,LgLm) by using Lm-sets, (L,m)-closed sets and generalized Lmsets,respectively. Especially, we study properties of weak separation axioms on these topological spaces. The investigation enable us to obtain a unified theory of notions related to L-sets [21], semi-L-sets [5] and pre L-sets [15] in topologicalspaces.

On Lambda(m)-sets and related topological spaces

CAMMAROTO, Filippo;
2005

Abstract

We introduce and investigate three topological spaces (X,Lm), (X,Lmc) and (X,LgLm) by using Lm-sets, (L,m)-closed sets and generalized Lmsets,respectively. Especially, we study properties of weak separation axioms on these topological spaces. The investigation enable us to obtain a unified theory of notions related to L-sets [21], semi-L-sets [5] and pre L-sets [15] in topologicalspaces.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11570/1434425
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