A Soft Embedding Lemma for Soft Topological Spaces

Giorgio Nordo

Working Paper Article Version 1 This version is not peer-reviewed

Version 1 : Received: 29 May 2019 / Approved: 30 May 2019 / Online: 30 May 2019 (10:04:04 CEST)

In 1999, Molodtsov initiated the theory of soft sets as a new mathematical tool for dealing with uncertainties in many fields of applied sciences. In 2011, Shabir and Naz introduced and studied the notion 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 to the class of soft topological spaces.

soft set; soft sets theory; soft topology; embedding lemma; soft mapping; soft topological product; soft slab; soft continuous mapping; soft diagonal mapping

Computer Science and Mathematics, Geometry and Topology

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A Soft Embedding Lemma for Soft Topological Spaces

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