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Star-Hurewicz Modulo an Ideal Property In Topological Spaces
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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.
Keywords
Hurewicz space, Stone-´Cech compactification, star-Hurewicz modulo an ideal, extremal disconnectedness, star-Hurewicz, Alexandroff duplicate
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