.svg){kind=logo}
REGULAR \beta-GENERALIZED CLOSED SETS
Keywords:
weak semi-regular set, rβg-closed set, rβg-regular spaceDOI:
https://doi.org/10.17654/0972087123003Abstract
The notion of g-closed sets was introduced and studied in [9]. We define a new type of g-closed sets called r
g-closed sets by using weak semiregular sets. We show that it is weaker than g*-closed and is stronger than rsg-closed and give its fundamental features. Besides, we introduce a new regular space and show that closed sets and rg-closed sets are equivalent in this space.
Received: November 7, 2022
Accepted: December 23, 2022
References
M. E. Abd-El Monsef, S. N. El-Deeb and R. A. Mahmoud, beta-open sets and beta-continuous mapping, Bull. Fac. Sci. Assiut Univ. 12 (1983), 77-90.
A. Al-Omari and T. Noiri, On -operator in ideal m-spaces, Boll. Soc. Paran. Mat. 30(1) (2012), 53-66.
G. Di Maio and T. Noiri, On s-closed spaces, Indian J. Pure Appl. Math. 18(3) (1987), 226-233.
K. Dlaska, N. Ergun and M. Ganster, On the topology generalized by semi regular sets, Indian J. Pure Appl. Math. 25(11) (1995), 1163-1170.
E. Hatir, T. Noiri and S. Yuksel, A decomposition of continuity, Acta Math. Hungar. 70(1-2) (1996), 145-150.
N. Hindman and D. Strauss, Algebra in the Stone-Cech Compactification Theory and Applications, Walter De Gruyter, 2012.
A. Keskin and E. Hatir, A decomposition of continuity, Centenary Year University, J. Inst. Nat. Appl. Sci., XVI. National Math. Symposium, Special Vol., Jan. 2005, pp. 209-216.
N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70(1) (1963), 36-41.
N. Levine, Generalized closed sets in topological spaces, Rend. Circ. Mat. Palermo, 19(2) (1970), 89-96.
M. Murugalingam, A study of semi generalized topology, Ph.D. Thesis, Manonmaniam Sundaranar Univ., 2005, Tirunelveli, Tamil Nadu, India.
T. Noiri, Weak and strong forms of beta-irresolute functions, Acta Math. Hungar. 99(4) (2003), 315-328.
T. Noiri and M. Khan, On regular semi generalized closed sets, Alban. J. Math. 4(2) (2010), 49-56.
N. Palaniappan and K. C. Rao, Regular generalized closed sets, Kyungpook Math. J. 33 (1993), 211-219.
K. C. Rao and K. Joseph, Semi star generalized closed sets, Bull. Pure Appl. Sci. 19(E)(2) (2002), 281-290.
Downloads
Published
Issue
Section
License
Copyright (c) 2023 Pushpa Publishing House, Prayagraj, India
This work is licensed under a Creative Commons Attribution 4.0 International License.
_________________________
Attribution: Credit Pushpa Publishing House as the original publisher, including title and author(s) if applicable.
Non-Commercial Use: For non-commercial purposes only. No commercial activities without explicit permission.
Contact Puspha Publishing House for more info or permissions.
