Soft set theory and topology

D. N. Georgiou

Greece

University of Patras

A. C. Megaritis

Greece

Technological Educational Institute of Western Greece

Submitted: 2014-04-03

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Accepted: 2014-04-03

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Published: 2014-04-07

DOI: https://doi.org/10.4995/agt.2014.2268
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Keywords:

Soft set theory, Soft topology.

Supporting agencies:

This research was not funded

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.
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