Volume 4, Issue 1, Pages 1-4, January 2014
ξ-Regular Spaces
M.C. Sharma1, Poonam Sharma2, Shobha Sharma3 and Mandeep Singh4,* 1, 2, 3Department of Mathematics, N.R.E.C. College, Khurja, U.P., India. 4,*Department of Mathematics, S.S. (P.G.) College Shikarpur, U.P., India.The aim of this paper is to introduce and study a new class of regular space called ξ-regular spaces by using ξ-open sets introduced by R. Devi, S.N. Rajappriya, K.M. Swamy and H. Maki in Scientiae Mathematical Japonicae (2006) and obtained several properties of such a space. Moreover, we obtained some new characterizations and preservation theorems of ξ-regular spaces.
Keywords: ξ, ξ*, ξ**, gα, rgα-closed sets, ξ, ξ*, ξ**, gα, rgα-open sets, ξ-open, almost ξ-open, pre ξ-closed, ξg-closed, almost ξg-closed functions, ξ-regular spaces.
