On Digital Line and Operations

Volume 4, Issue 3, Article 3 - 2018

Authors: Abd El-Monem M. Kozae;El-Sayed A. Abo-Tabl

Copyright © 2018 . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Abstract

The topological structure is a more general mathematical model that helps in solving many problems in digital topology and its applications. In this paper, we introduce and study some general forms of separation properties based on operations. The notions of generalized closed set and T1/2-spaces are further investigated using operation approaches. As applications, it is shown that the Khalimsky line (digital line) is a typical example of µr,s −T1/2-spaces, where µr = int and µs = int−cl.

How To Cite This Article

@article{M_Kozae_2018, doi = {10.31559/glm2018.4.3.3}, url = {https://doi.org/10.31559%2Fglm2018.4.3.3}, year = 2018, publisher = {Refaad for Studies and Research}, volume = {4}, number = {3}, pages = {107--113}, author = {Abd El-Monem M. Kozae and El-Sayed A. Abo-Tabl}, title = {On Digital Line and Operations}, journal = {General Letters in Mathematics} }
M. Kozae, A. E.-M., & A. Abo-Tabl, E.-S. (2018). On Digital Line and Operations. General Letters in Mathematics, 4(3), 107–113. doi:10.31559/glm2018.4.3.3
[1]A. E.-M. M. Kozae and E.-S. A. Abo-Tabl, “On Digital Line and Operations,” General Letters in Mathematics, vol. 4, no. 3, pp. 107–113, 2018.
M. Kozae, Abd El-Monem, and El-Sayed A. Abo-Tabl. “On Digital Line and Operations.” General Letters in Mathematics 4, no. 3 (2018): 107–113. doi:10.31559/glm2018.4.3.3.