The Cech homology theory in the category of soft topological spaces

In this study, by using the covering of soft topological spaces, an inverse system of simplicial complexes is constituted. Built upon these inverse system of simplicial complexes, Cech homology [cohomology] groups of soft topological spaces are dened. It is proved that Cech homology groups constitue a functor from the category of soft topological spaces to the category of groups. Later, axioms of homology theory are checked for this homology groups.