Open Access
Subscription Access
Open Access
Subscription Access
Star-Hurewicz Modulo an Ideal Property In Topological Spaces
Subscribe/Renew Journal
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
Subscription
Login to verify subscription
User
Font Size
Information
- A. V. Arhangel’skiˇi and P. J. Collins, On submaximal spaces, Topology Appl., 64(3) (1995), 219–241.
- M. Bhardwaj, Counterexample to Theorems on star versions of Hurewicz property, Appl. Gen. Topol., 21(1) (2020), 53–56.
- M. Bhardwaj, On new star-selection principles in Topology, Topology Appl., 279 (2020) Art No. 107244.
- M. Bhardwaj and A. V. Osipov, Star versions of Hurewicz basis covering property and strong measure zero spaces, Turkish J. Math., 44(3) (2020), 1042–1053.
- M. Bhardwaj, B. K. Tyagi and S. Singh, Relativization of star-C-Hurewicz property in topological spaces, Bull. Iranian Math. Soc., 46 (2020), 1101–1115.
- M. Bonanzinga, F. Cammaroto and Lj.D.R. Koˇcinac, Star-Hurewicz and related properties, Appl. Gen. Topol., 5 (2004), 79–89.
- P. Das, D. Chandra and U. Samanta, On certain variations of I-Hurewicz property, Topology Appl., 241 (2018),363–376.
- J. Dontchev, Contra-continuous functions and strongly S-closed spaces, Int. J. Math. Math. Sci., 19 (1996), 303–310.
- R. Engelking, General Topology, Heldermann Verlag Berlin, 1989.
- W. Hurewicz, ¨U ber eine verallgemeinerung des Borelschen Theorems, Math. Z., 24 (1925), 401–421.
- Lj. D. Koˇcinac, Star-Menger and related spaces, Publ. Math. Debrecen, 55 (1999), 421– 431.
- Lj. D.R. Koˇcinac and M. Scheepers, Combinatorics of open covers (VII): Groupability, Fund. Math., 179 (2003), 131–155 .
- A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deep, On precontinuous and weak precontinuous mappings, Proc. Math. and Physical Soc. Egypt, 53 (1982), 47–53.
- M. Scheepers, Combinatorics of open covers I: Ramsey theory, Topology Appl., 69 (1996), 31–62.
- B. K. Tyagi, S. Singh and M. Bhardwaj, An ideal version of star-C- Hurewicz covering property, Filomat, 33(19) (2019), 6385–6393.
Abstract Views: 309
PDF Views: 0