International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 9, Pages 597-603
doi:10.1155/S0161171200001277
On S-cluster sets and S-closed spaces
M.N. Mukherjee
and Atasi Debray
Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, India
Abstract
A new type of cluster sets, called S-cluster sets, of functions and multifunctions between topological spaces is introduced, thereby providing a new technique for studying S-closed spaces. The deliberation includes an explicit expression of S-cluster set of a function. As an application, characterizations of Hausdorff and S-closed topological spaces are achieved via such cluster sets.