Chattopadhyay, Chandan On strongly pre-open sets and a decomposition of continuity. (English) Zbl 1120.54308 Mat. Vesn. 57, No. 3-4, 121-125 (2005). The author introduces the notion of a strongly preopen set, an openness counterpart to a \(\delta\)-set introduced by the author and C. Bandyopadhay [Bull. Calcutta Math. Soc. 83, 281–290 (1991; Zbl 0764.54001)] i.e., a condensed set defined by Y. Isomichi [Pac. J. Math. 38, 657–668 (1971; Zbl 0227.54001)]. Hence the following decomposition of continuity: A function is continuous if and only if it is \(\delta\)-continuous and S-precontinuous. Reviewer: Mila Mršević (Beograd) Cited in 1 Document MSC: 54C10 Special maps on topological spaces (open, closed, perfect, etc.) 54A05 Topological spaces and generalizations (closure spaces, etc.) Keywords:S-precontinuous function; \(\delta\)-continuous function Citations:Zbl 0764.54001; Zbl 0227.54001 PDFBibTeX XMLCite \textit{C. Chattopadhyay}, Mat. Vesn. 57, No. 3--4, 121--125 (2005; Zbl 1120.54308) Full Text: EuDML