Comment on “Soft Mappings Space”

الملخص EN

One of the celebrated findings obtained in general topology reports that every compact subset of a Hausdorff space is closed.

In this investigation, we demonstrate that this finding need not be true via soft topology.

In 2014, Ozturk and Bayramov [1] discussed some properties of a soft Hausdorff space which defined in [2, 3] and its relationships with a soft compactness notion.

However, they made an error, as we observe, in [Theorem 34, p.p.5] which investigated a relationship between soft closed set and soft compact Hausdorff space.

To illustrate this mistake, we provide a counterexample and then we conclude under what conditions this result can be generalized via soft topology.