International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 49-52, Pages 2755-2760
doi:10.1155/S0161171204402373

Classification of weak continuities and decomposition of continuity

Jingcheng Tong

Department of Mathematics and Statistics, University of North Florida, Jacksonville 32224, FL, USA

Abstract

We first introduce 20 weak forms of continuity, which are closely related to 5 known weak forms of continuity. Then we classify them into 9 groups and give 12 decompositions of continuity.