TY - JOUR ID - 220 TI - On generalized topologies arising from mappings JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Pavlovic, Vladimir AU - Cvetkovi' c, Aleksandar S. AD - University of Nis, Faculty of Sciences and Mathematics AD - Department of Mathematics and Informatics, Faculty of Mechancial Engineering, University of Belgrade Y1 - 2012 PY - 2012 VL - 38 IS - 3 SP - 553 EP - 565 KW - Generalized topologies KW - generalized neighborhood systems KW - product of generalized topologies DO - N2 - 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. UR - http://bims.iranjournals.ir/article_220.html L1 - http://bims.iranjournals.ir/article_220_44f92411e606144e9eb9f38b332d54d1.pdf ER -