Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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.
Keywords
Subjects

Volume 38, Issue 3 - Serial Number 3
September 2012
Pages 553-565

  • Receive Date 31 July 2010
  • Revise Date 22 February 2011
  • Accept Date 22 February 2011