Soft set theory and topology

Abstract

In this paper we study and discuss the soft set theory giving new defi- nitions, 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, charac- terizations, 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. © AGT, UPV, 2014.