%0 Journal Article %@ 0126-6705 %A Caldas, M., %A Jafari S., %A Saraf, R.K., %D 2007 %F myais:1450 %I Penerbit Universiti Sains Malaysia %J Bulletin of the Malaysian Mathematical Sciences Society %K Topological spaces, g?-closed sets, ?-open sets, ?-open maps, ?-irresolute maps, ?-T? spaces. %N 2 %P 93-98 %T On Some Maps Concerning g?-Open Sets %U http://myais.fsktm.um.edu.my/1450/ %V 30 %X In this paper, we consider a new generalization of $\alpha$-open maps via the concept of g$\alpha$-closed sets which we call approximately $\alpha$-open maps. We study some of its fundamental properties. It turns out that we can use this notion to obtain a new characterization of $\alpha-T_\frac{1}{2}$ spaces. 2001 Mathematics Subject Classification: 54805, 54C08