descriptionPublicationkeyboard_double_arrow_right Article 07 Apr 2014Publisher:Universitat Politecnica de ValenciaJournal:Applied General Topology, volume 15, page 93 (issn: 1576-9402, eissn: 1989-4147,

Authors: Georgiou, D. N.; Megaritis, A. C.;

doi: 10.4995/agt.2014.2268

handle: 10251/43556

Soft set theory and topology

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Abstract

[EN] In this paper we study and discuss the soft set theory giving new definitions, examples, new classes of soft sets, and properties for mappings between different classes of soft sets. Furthermore, we investigate the theory of soft topological spaces and we present new definitions, characterizations, and properties concerning the soft closure, the soft interior, the soft boundary, the soft continuity, the soft open and closed maps, and the soft homeomorphism.

Related Organizations

Universitat Politècnica de València
Spain
University of Patras
Greece
American Hotel & Lodging Educational Institute
United States
Technological Educational Institute of Western Greece
Greece

Keywords

Soft set theory, QA299.6-433, Soft topology, QA1-939, Soft topology., Mathematics, Analysis

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