Weak Forms of γ-Open Sets and New Separation Axioms
Full Text(PDF, ) PP.1282-1285
| Author(s) |
|Hariwan Z. Ibrahim|
| KEYWORDS |
γ-open, α-γ-open, pre-γ-open, β-γ-open, b-γ-open
In this paper, we introduce some generalizations of γ-open sets and investigate some properties of the sets. Moreover, we use them to obtain new separation axioms.
 M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud, β-open sets and
β-continuous mappings, Bull. Fac. Sci. Assuit Univ. 12: 77-90 (1983).
 D. Andrijevic, On b-open sets, Mat. Vesnik 48: 59-64 (1996).
 R. Engelking, General Topology, Heldermann Veriag Berlin, 2nd edition,
 N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer.
Math. Monthly 70: 36-41 (1963).
 A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deeb, On precontinuous
and weak precontinuous functions, Proc. Math. Phys. Soc. Egypt 51:47-53
 O. Njstad, On some classes of nearly open sets, Paciﬁc J. Math. 15: 961-970
 G. Sai Sundara Krishnan, A new class of semi open sets in a topological
space, Proc. Ncmcm, Allied Publishers, New Delhi, 305-311 (2003).
 H. Ogata, Operation on topological spaces and associated topology, Math.
Japonica, 36: 175-184 (1991).