In 1999, Molodtsov initiated the concept of Soft Sets Theory as a new mathematical tool and a completely different approach for dealing with uncertainties in many fields of applied sciences. In 2011, Shabir and Naz introduced and studied the theory of soft topological spaces, also defining and investigating many new soft properties as generalization of the classical ones. In this paper, we introduce the notions of soft separation between soft points and soft closed sets in order to obtain a generalization of the well-known Embedding Lemma for soft topological spaces.

An Embedding Lemma in Soft Topological Spaces

Giorgio NORDO
Primo
Membro del Collaboration Group
2018-01-01

Abstract

In 1999, Molodtsov initiated the concept of Soft Sets Theory as a new mathematical tool and a completely different approach for dealing with uncertainties in many fields of applied sciences. In 2011, Shabir and Naz introduced and studied the theory of soft topological spaces, also defining and investigating many new soft properties as generalization of the classical ones. In this paper, we introduce the notions of soft separation between soft points and soft closed sets in order to obtain a generalization of the well-known Embedding Lemma for soft topological spaces.
2018
978-9941-484-11-7
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Descrizione: Estratto dell'articolo pubblicato sui Proceedings of the International Scientific Conference on Related Problems of Continuum Mechanics}, Kutaisi (Georgia), 12-13/10/2018
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3138121
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