Soft topological space and topology on the Cartesian product

Year 2016, Volume: 45 Issue: 4, 1091 - 1100, 01.08.2016

Matejdes Milan

Abstract

The paper deals with a soft topological space which is dened over an
initial universe set U with a xed set of parameters E . The main goal
is to point out that any soft topological space is homeomorphic to a
topological space $( E \times U, \tau )$ where $\tau$ is an arbitrary topology on the
product $E \times U$ , consequently many soft topological notions and results
can be derived from general topology. Furthermore, in many papers
some notions are introduced by dierent ways and it would be good to
give a unied approach for a transfer of topological notions to a soft
set theory and to create a bridge between general topology and soft set
theory.

Keywords

Soft set, Soft open (closed) set, Soft interior (closure) of soft set, Soft topological space, Separation axioms, Soft continuity, , Soft e-continuity

References

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