A note on soft topological spaces

This paper demonstrates the redundancies concerning the increasing popular ``soft set" approaches to general topologies. It is shown that there is a complement preserving isomorphism (preserving arbitrary widetilde{bigcup} and arbitrary widetilde{bigcap}) between the lattice (mathcal{ST}_E(X,E),widetilde{subset}) of all soft sets on X with the whole parameter set E as domains and the powerset lattice (mathcal{P}(Xtimes E),subseteq) of all subsets of Xtimes E. It therefore follows that soft topologies are redundant and unnecessarily complicated in theoretical sense.

کلیدواژه ها:

Soft set ، Soft topology