Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915On generalized topologies arising from
mappings553565220ENVladimirPavlovicUniversity of Nis, Faculty of Sciences and MathematicsAleksandar S.Cvetkovi' CDepartment of Mathematics and Informatics, Faculty of Mechancial Engineering, University
of BelgradeJournal Article20100731Given a mapping $f:Xto X$ we naturally associate to it a monotonic <br />map $gg_f:exp Xto exp X$ from the power set of $X$ into itself, <br />thus inducing a generalized topology on $X$. In this paper we <br />investigate some properties of generalized topologies which are <br />defined by such a procedure.http://bims.iranjournals.ir/article_220_44f92411e606144e9eb9f38b332d54d1.pdf