Soft separation axioms in soft topological spaces

Year 2015, Volume: 44 Issue: 3, 559 - 568, 01.06.2015

Sabir Hussain , Bashir Ahmad

Abstract

Shabir et. al [27] and D. N. Georgiou et. al [7], defined and studied some
soft separation axioms, soft θ-continuity and soft connectedness in soft
spaces using (ordinary) points of a topological space X. In this paper,
we redefine and explore several properties of soft Ti, i = 0, 1, 2, soft
regular, soft T3, soft normal and soft T4 axioms using soft points defined
by I. Zorlutuna [30]. We also discuss some soft invariance properties
namely soft topological property and soft hereditary property. We hope
that these results will be useful for the future study on soft topology
to carry out general framework for the practical applications and to
solve the complicated problems containing uncertainties in economics,
engineering, medical, environment and in general man-machine systems
of various types.

Keywords

Soft topology, Soft open(closed) sets, Soft interior(closure), Soft Ti ; (i = 0, 1, 2, 3, 4) spaces, Soft regular spaces

References

• ...