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Some new types connectedness in topological space | ||
| Journal of University of Anbar for Pure Science | ||
| Article 6, Volume 13, Issue 1, 2019, Pages 36-40 PDF (507.56 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2022.171870 | ||
| Authors | ||
| Elaf Sabah Abdulwahid; Rana Bahjat yaseen* | ||
| Dep.of mathematics- College of education for girls University of Tikrit. | ||
| Abstract | ||
| The main purpose of this paper is to introduce new definitions of separation, connectedness in topological spaces namely ( S^* g-separation , (S^* g-α)separation , S^* g-connected , (S^* g-α)connected ) by using the definitions S^* g-(S^* g-α)- open sets and study the relations among them . Also we study hereditary, topological property and show that S^* g-(S^* g-α)connectedness is not - hereditary property but topological property. | ||
| Keywords | ||
| S^* g-separated; S^* g-αseparated; S^* g-connected; S^* g-α Connected; S^* g-home; S^* g-αhome | ||
| References | ||
|
[1] AL- Malaki , N.J. “ Some kinds of Weakly Connected and Pairwise Connected Space“, M.Sc. Thesis University of Baghdad , college of Education . Ibn Al- Haitham (2005).
[2] Bourbaki, N., " General Topology part 1, Addison Wesley, redding , Mass. (1966).
[3] Burbaki, N. “Elements of Mathematics; General Topology “Springer verlag, Berlin, Hedelberg , New York ,London, Paris ,Tokyo , 2nd Edition .(1989) . [4] Khan, M. , Nori , T. and Hussain, M. " On closed sets and normal space ". Codeiv Jnsmac, vol (48), no (1).pp: 31- 41 (2008).
[5] Levine,N "Generalized closed sets in topology" ,Rend.Circ.Math.Palermo, 19 (2), pp: 89-96 .(1970).
[6] Mahmood , I. Sabiha and Tareq , S. Jumana, " On open sets in topological spaces ". Ibn AL-Haitham Journal for pure and appL. sci . vol( 27) (3) 2. pp: 542-555. (2014).
[7] Sharma L. J. “Topology “Krishna Prakashan Media Ltd ., India ,Twenty Fifth Edition, ,(2000) | ||
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