M. Bhardwaj, B. Tyagi, Sumit Singh
tlooto Summary
A class of star-Hurewicz modulo an ideal property is introduced and studied in topological spaces, showing relationships with existing Hurewitz properties.
Abstract
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.
Citation format
BHARDWAJ, M.; TYAGI, B.; SINGH, Sumit. Star-hurewicz modulo an ideal property in topological spaces. Journal of the Indian Mathematical Society, 2021, 88: 33–45.