A Decomposition of \alpha-continuity and \mu\alpha-continuity

The main purpose of this paper is to introduce the concepts of *\eta- sets, **\eta-sets, *\eta-continuity and **\eta-continuity and to obtain decomposition of \alpha- continuity and \mu\alpha-continuity in topological spaces.

Keywords:

\mu\alpha-closed set, \mup-closed set, *\eta-set, **\eta-set *\eta-continuity and**\eta-continuity,

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J. Tong, A Decomposition of Continuity, Acta Mathematica Hungarica 48 (1986) 11-15.
J. Tong, A Decomposition of Continuity in Topological Spaces, Acta Mathematica Hungarica 54(1-2) (1989) 51*55.
M. Ganster, I. L. Reilly, A Decomposition of Continuity, Acta Mathematica Hungarica 56 (1990) 299-301.
T. Noiri, O. R. Sayed, On Decomposition of Continuity, Acta Mathematica Hungarica 111(1-2) (2006) 1-8.
M. K. R. S. Veera Kumar, \mup-Closed Sets in Topological Spaces, Antarctica Journal of Mathe- matics 2(1) (2005) 31-52.
S. Ganesan, Remarks on \mu\alpha-Closed Sets in Topological Spaces (Submitted).
M. Stone, Application of The Theory of Boolean Rings to General Topology, Transactions of the American Mathematical Society 41 (1937) 374-481.
O. Njastad, On Some Classes of Nearly Open Sets, Paci c Journal of Mathematics 15 (1965) 961-970.
N. Levine, Semi-Open Sets and Semi-Continuity in Topological Spaces, The American Mathemat- ical Monthly 70(1963) 36-41.
A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, On Precontinuous and Weak Pre Con- tinuous Mappings, Proceedings of the Mathematical and Physical Society of Egypt 53 (1982) 47-53.
S. G. Crossley, S. K. Hildebrand, Semi-Closure,Texas Journal of Science 22 (1971) 99-112.
T. Noiri, H. Maki, J. Umehara, Generalized Preclosed Functions, Memoirs of the Faculty of Science, Kochi University. Series A Mathematics 19 (1998) 13-20.
E. Hatir, T. Noiri, S. Yuksel, A Decomposition of Continuity, Acta Mathematica Hungarica 70 (1996) 145-150.
I. L. Reilly, M. R. Vamanamurthy, On \alpha-Continuity in Topological Spaces, Acta Mathematica Hungarica 45 (1985) 27-32.
B. Al-Nashef, A Decomposition of \alpha-Continuity and Semicontinuity, Acta Mathematica Hungar- ica 97(1-2) (2002) 115-120.
M. Ganster, I. L. Reilly, Locally Closed Sets and LC-Continuous Functions, International Journal of Mathematics and Mathematical Sciences 12 (1989) 417-424.
H. Maki, R. Devi, K. Balachandran, Generalized \alpha-Closed Sets in Topology, Bulletin of Fukuoka University of Education. Part III. 42 (1993) 13-21.
M. K. R. S. Veera Kumari, Between Closed Sets and g-Closed Sets, Memoirs of the Faculty of Science, Kochi University. Series A Mathematics 21 (2000) 1-19.
T. Noiri, M. Rajamani, P. Sundaram, A Decomposition of a Weaker Form of Continuity, Acta Mathematica Hungarica 93(1-2) (2001) 109-114.
A. S. Mashhour, I. A. Hasanein, S. N. El-Deeb, \alpha-Continuous and \alpha-Open Mappings, Acta Mathematica Hungarica 41 (1983) 213-218.

Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2014
Yayıncı: Naim Çağman

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