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On generalized topologies arising from mappings

Article 2, Volume 38, Number 3, September 2012, Page 553-565  XML PDF (312 K)
Document Type: Research Paper
Authors
1Vladimir Pavlovic ; 2Aleksandar S. Cvetkovi' c
1University of Nis, Faculty of Sciences and Mathematics
2Department of Mathematics and Informatics, Faculty of Mechancial Engineering, University of Belgrade
Abstract
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.
Keywords
Generalized topologies; generalized neighborhood systems; product of generalized topologies
Main Subjects
54-XX General topology
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