ON δ–β–GENERALIZED CLOSED SETS IN TOPOLOGICAL SPACES
MANISHA SHRIVASTAVA 1, TAKASHI NOIRI 2 AND PURUSHOTTAM JHA 3 1. Department of Mathematics, Govt. J. Y. Chhattisgarh College,
Raipur, Chhattisgarh- 492001, INDIA,
e-mail: shrivastavamanisha9@gmail.com
2. 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi,
Kumamoto-ken - 869-5142, JAPAN
e-mail: t.noiri@nifty.com
3. Department of Mathematics, Govt. J. Y. Chhattisgarh College,
Raipur, Chhattisgarh- 492001, INDIA,
e-mail: purushjha@gmail.com
The concepts of δ–β–open sets and δ–β–continuous functions have been introduced by Hatir and Noiri [12] and the ideas were further investigated and their properties have been explored in [13]. In the present paper we introduce a new notion of generalized closed sets called δβg–closed sets in topological spaces which is the more general form of generalized δ–closed, δ–generalized–semi–closed, δ generalized preclosed and δ–β–closed sets. Extending this idea to define and study δβg–quotient maps and δβg-regular and δβg–normal spaces, the authors have explored further characterizations of the new concept.
