on generalized topologies arising from mappings
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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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On generalized topologies arising from mappings
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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Journal title:
bulletin of the iranian mathematical societyجلد ۳۸، شماره ۳، صفحات ۵۵۳-۵۶۵
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