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International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 21, Pages 1331-1340
doi:10.1155/S0161171203207262

Some properties of maximal open sets

Fumie Nakaoka and Nobuyuki Oda

Department of Applied Mathematics, Faculty of Sciences, Fukuoka University, Nanakuma, Jonan-ku, Fukuoka 814-0180, Japan

Received 11 July 2002

Abstract

Some fundamental properties of maximal open sets are obtained, such as decomposition theorem for a maximal open set. Basic properties of intersections of maximal open sets are established, such as the law of radical closure.