Article

Maps generating the same primal space

Published in: Quaestiones Mathematicae
Volume 40 , issue 1 , 2017 , pages: 17–28

DOI: 10.2989/16073606.2016.1260067

Author(s): Sami Lazaar Department of Mathematics, Faculty of Sciences of Tunis, Tunisia , Tom Richmond Department of Mathematics, USA , Tarek Turki Department of Mathematics, Faculty of Sciences of Tunis, Tunisia

Keywords: 18A40 , 54B30 , 54D10 , 54F65 , 18A40 , 54B30 , 54D10 , 54F65

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Abstract

Alexandroff topologies play an enigmatic role in topology. An important family of Alexandroff topologies are the functional Alexandroff spaces introduced by Shirazi and Golestani, and called primal topologies by O. Echi. The primal topology (f ) on X determined by a function f : X → X is the topology whose closed sets are the f -invariant subsets of X.

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