On \(\beta\)-\(\gamma\)-connectedness and \(\beta_{(\gamma,\delta)}\)-continuous functions
Downloads
DOI:
https://doi.org/10.26637/mjm1204/007Abstract
The purpose of this work is to present the idea of \(\beta-\gamma\)-separated sets, examine their characteristics in topological spaces and then define the notation for \(\beta-\gamma\)-connected and \(\beta-\gamma\)-disconnectedness.\ In addition, the study of topological qualities that involves for \(\beta-\gamma\)-connected spaces via \(\beta-\gamma\)-separated sets.\ An analysis is conducted on the properties of \(\beta-\gamma\)-connected spaces and how they behave under \(\beta_{(\gamma,\delta)}\)-continuous functions.\ We also provide the ideas of \(\beta-\gamma\)-components in a space \(X\) and \(\beta-\gamma\)-locally connected spaces.
Keywords:
Operation, \(\beta-\gamma\)-open, \(\beta-\gamma\)-closedMathematics Subject Classification:
54C08- Pages: 449-456
- Date Published: 01-10-2024
- Vol. 12 No. 04 (2024): Malaya Journal of Matematik (MJM)
M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud, $beta$-open sets and $beta$-continuous mappings, Bull. Fac. Sci. Assuit. Univ., 12 (1983), 77-90.
M. E. Abd El-Monsef, R. A. Mahmoud and E. R. Lashin, $beta$-closure and $beta$-interior, J. Fac. Ed. Ain Shams. Univ., 10 (1986), 235-245.
A. v. Arhangelskii and R. Wiegandt, Connectedness and disconnectedness in topology, Top. App., 5 (1975).
J. A. Guthrie, D. P. Reynolds and H. E. Stone, Connected expansions of topologies, Bull. Austral. Math. Soc., 9 (1973), 259-265.
J. A. Guthrie and H. E. Stone, Spaces whose connected expansion preserve connected subsets, Fund. Math., 80(1) (1973), 91-100.
J. A. Guthrie, H. E. Stone and M. L. Wage, Maximal connected expansion of the reals, Proc. Amer. Math. Soc., 69(1) (1978), 159-165.
S. Jafari and T. Noiri, Properties of $beta$-connected spaces, Acta. Math. Hungar., 101(3) (2003), 227-235.
S. Tahiliani, Operational approach on $beta$-open sets and applications, Math. Commun., 16(2011), 577-591.
- NA
Metrics
Published
How to Cite
Issue
Section
