On generalized topologies arising from mappings

Document Type : Research Paper


1 University of Nis, Faculty of Sciences and Mathematics

2 Department of Mathematics and Informatics, Faculty of Mechancial Engineering, University of Belgrade


Given a mapping $f:Xto X$ we naturally associate to it a monotonic
map $gg_f:exp Xto exp X$ from the power set of $X$ into itself,
thus inducing a generalized topology on $X$. In this paper we
investigate some properties of generalized topologies which are
defined by such a procedure.


Main Subjects