On Coc-Preopen Sets in Topological Spaces
DOI:
https://doi.org/10.22401/cdmxg117Keywords:
preopen set , α-open set , coc-open set , coc-connected space , Kc-space , submaximal spaceAbstract
In this research we introduced a new concept, which is coc-preopen set, with some properties, theorems, and functions related to this concept. We also benefited from the properties of some spaces in order to find new results related to the concept of coc-preopen.
References
Mashhour, A. S.; "On precontinuous and weak precontinuous mappings". Proc. Math. Phys. Soc, 53: 47-53, 1982.
Al Ghour, S.; Samarah, S.; "Cocompact open sets and continuity." Abst. Appl. Anal, 2012 (1): 1-9, 2012.
Hussain, R. A.; Nasser, H. I.; “On Connected Space byUsing N–Open Set”. JQCM, 4(2): 1-19, 2012.
Abdullah, H. K.; Fadhila K. R.; "Regular Proper Mappings". JQCM, 3(1): 161-184, 2011.
Jasim, F. H.; "On Compactness Via Cocompact open sets". Msater’s Thesis, College of Mathematics and Computer Science, University of Al-Qadissiya, Diwaniyah, Iraq, 2014.
Baldovino, C.; Costantini, C.; "On some questions about KC and related spaces". Topology Appl, 156 (17): 2692-2703, 2009.
Mashhour, A. S.; "S-C spaces." Delta J. Sci, 8: 30-46, 1984.
Reilly, IL.; Vamanamurthy, MK.; “On some questions concerning preopen sets”. Kyungpook Math. J, 30 (1): 87-93, 1990.
Njȧstad, O.; “On some classes of nearly open sets”. Pac J Math, 15 (3): 961-970, 1965.
Levine, N.; "Semi-open sets and semi-continuity in topological spaces". Amer. Math. Monthly, 70 (1): 36-41, 1963.
Popa, V.; Noiri, T.; "Almost weakly continuous functions" Demonstr. mAth. De Gruyter, 25 (1-2): 241-252, 1992.
POPA, V.; "Properties of H-almost continuous functions". Bull. Math. Soc. Sci. Math. Roumanie, 31(2): 163-168, 1987.
Tyagi, B. K.; Singh. S.; Bhardwaj, M. and Chauhan, H.V.; "Some strong forms of connectedness in topological spaces." J. Adv. Stud. Topol , 10 (1): 20-27, 2019.
Mashhour, A. S.; Abd El-Monsef, M. E. and Hasanein. I. A.; "On pretopological spaces". Bull. Math. Soc. Sci. Math. Roumanie, 28(76): 39-45, 1984.
Salih, A. A.; Ali, H. J.; "A study of mN-extremally Disconnected Spaces With Respect to , Maximum mX-N-open Sets" . Iraqi J. Sci., 62 (4): 1265-1270, 2021.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Ahmed A. Salih, Haider J. Ali
This work is licensed under a Creative Commons Attribution 4.0 International License.
.jpg)
