Soft set theory and topology

D. N. Georgiou, A. C. Megaritis

Abstract

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.

Keywords

Soft set theory; Soft topology.

Subject classification

54A05; 06D72.

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