EN
A New Class of Closed Set in Digital Topology
Abstract
The purpose of this paper is to introduce a new class of closed set called
g*w\alpha-closed sets in digital topology. We establish a relationship between closed and
g*w\alpha-closed sets in digital topology. Also, we obtained the properties of g*w\alpha-closed
sets in digital plane.
-
Keywords
References
- A. Rosenfeld, Digital Topology, Amer. Math. Monthly 86 (1979) 621-630.
- R, Devi, K. Bhuvaneshwari and H. Maki, Weak Form of g*-closed Sets, where \rho \in \alpha, \alpha*, \alpha** and The Digital Plane, Mem. Fac. Sci. Kochi Univ. Math. 25 (2004) 37-54.
- R. Devi, S. N. Rajapriya, K. Muthukumarswamy and H. Maki, \xi-Closed Sets in Topological Spaces and Digital Planes, Scientiae Mathematicae Japanicae, Online e-2006 615-631.
- R. Devi and M. Vigneshwaram, g*-Closed Sets in the Digital Plane, Int. Jl. of General Topology, 4(1-2) (2011) 91-95.
- R. Devi and M. Vigneshwaran, On GO-Kernel in Digital Plane, Int. Jl. of Mathematical Archive, 3(6) (2012) 2358-2373.
- E. D. Khalimsky, R. Kopperman and P. R. Meyer, Computer Graphics and Connected Topologies in Finite Ordered Set, Topology Applications, 36 (1990) 1-17.
- T. Y. Kong, R. Kopperman and P. R. Meyer, A Topologies Approach to Digital Topology, Amer. Math. Monthly, 98 (1991) 901-907.
- P. G. Patil, S. S. Benchalli and Pallavi S. Mirajakar, Generalized Star w\lpha-closed Sets in Topological Spaces, Jl. of New Results in Science, 9 (2015) 37-45.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
June 30, 2020
Submission Date
September 20, 2019
Acceptance Date
June 28, 2020
Published in Issue
Year 2020 Number: 31
APA
Mırajakar, P. S., & Patıl, P. G. (2020). A New Class of Closed Set in Digital Topology. Journal of New Theory, 31, 108-113. https://izlik.org/JA33ER55NY
AMA
1.Mırajakar PS, Patıl PG. A New Class of Closed Set in Digital Topology. JNT. 2020;(31):108-113. https://izlik.org/JA33ER55NY
Chicago
Mırajakar, Pallavi S., and Prakashgouda G. Patıl. 2020. “A New Class of Closed Set in Digital Topology”. Journal of New Theory, nos. 31: 108-13. https://izlik.org/JA33ER55NY.
EndNote
Mırajakar PS, Patıl PG (June 1, 2020) A New Class of Closed Set in Digital Topology. Journal of New Theory 31 108–113.
IEEE
[1]P. S. Mırajakar and P. G. Patıl, “A New Class of Closed Set in Digital Topology”, JNT, no. 31, pp. 108–113, June 2020, [Online]. Available: https://izlik.org/JA33ER55NY
ISNAD
Mırajakar, Pallavi S. - Patıl, Prakashgouda G. “A New Class of Closed Set in Digital Topology”. Journal of New Theory. 31 (June 1, 2020): 108-113. https://izlik.org/JA33ER55NY.
JAMA
1.Mırajakar PS, Patıl PG. A New Class of Closed Set in Digital Topology. JNT. 2020;:108–113.
MLA
Mırajakar, Pallavi S., and Prakashgouda G. Patıl. “A New Class of Closed Set in Digital Topology”. Journal of New Theory, no. 31, June 2020, pp. 108-13, https://izlik.org/JA33ER55NY.
Vancouver
1.Pallavi S. Mırajakar, Prakashgouda G. Patıl. A New Class of Closed Set in Digital Topology. JNT [Internet]. 2020 Jun. 1;(31):108-13. Available from: https://izlik.org/JA33ER55NY