International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 16, Pages 2575-2578
doi:10.1155/IJMMS.2005.2575
Expansion of α-open sets and decomposition of α-continuous mappings
M. Rajamani
and K. Bagyalakshmi
Post Graduate and Research Department of Mathematics, N.G.M. College (Autonomous), Bharathiar University, Coimbatore, Pollachi, Tamil Nadu 642 001, India
Abstract
We introduce the notions of expansion 𝒜α of α-open sets and 𝒜α-expansion α-continuous mappings in topological spaces. The main result of this paper is that a map f is α-continuous if and only if it is 𝒜α-expansion α-continuous and ℬα-expansion α-continuous, where 𝒜α, ℬα are two mutually dual expansions.