جۆری توێژینه‌وه‌ : Original Article

نوسه‌ران

1 College of Science, University of Duhok, Duhok, Kurdistan- Region, Iraq.

2 Mathematics Department, College of Education, University of Garmian, Kurdistan- Region, Iraq.

پوخته‌


In this paper, we define and study a new type of connected spaces called -connected space. It is remarkable that the class of -connected spaces is a subclass of the class of -connected spaces. We discuss some characterizations and properties of -connected spaces , -components and -locally connected spaces.

وشه‌ بنچینه‌ییه‌كان

 1.Levine, N., Semi-open sets and semi-continuity in topological spaces. The American Mathematical Monthly, 1963. 70(1): p. 36-41.
2. F.Namiq, S., New types of continuity and separation axiom based operation in topological spaces. 2011, Sulaimani.
3.F.Namiq, S., λ_βc-Open Sets and Topological Properties. Journal of Garmian University, 2017. Preprint.
4.Namiq, S.F., λ-Connected Spaces Via λ-Open Sets. Journal of Garmyan University, 2015. 1: p. 165-178.
5.Alias B. Khalaf , H.M.D.a.S.F.N., λ_c-Connected Spaces Via λ_c-Open Sets. journal of Garmian University, 2017. 1(12): p. 15-29.
6.Willard, S., General topology. 1970: Courier Corporation.
7.Dorsett, C., Semi-connectedness. Indian J. Mech. Math, 1979. 17(1): p. 57-63.
8. El-Monsef, M.A., S. El-Deeb, and R. Mahmoud, β-open sets and β-continuous mappings. Bull. Fac. Sci. Assiut Univ, 1983. 12(1): p. 77-90.
9. Khalaf, A.B. and S.F. Namiq, [[lambda]. sub. c]-open sets and [[lambda]. sub. c]-separation axioms in topological spaces. Journal of Advanced Studies in Topology, 2013. 4(1): p. 150-159.