Star-Hurewicz Modulo an Ideal Property In Topological Spaces

In this paper, a class of star-Hurewicz modulo an ideal spaces is introduced and studied. For an ideal K of finite subsets of N, a characterization of weakly star-K-Hurewicz extremally disconnected spaces is given using ideal. It is shown that star-Hurewicz modulo an ideal property is hereditary under clopen subspaces. In this manner we obtained relationships of star-Hurewicz modulo an ideal property with other existing Hurewicz properties in literature.