# On generalized topologies arising from mappings

Document Type : Research Paper

Authors

1 University of Nis, Faculty of Sciences and Mathematics

2 Department 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.

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Main Subjects

### History

• Receive Date: 31 July 2010
• Revise Date: 22 February 2011
• Accept Date: 22 February 2011
• First Publish Date: 15 September 2012