Functional Alexandroff Spaces

Abstract

In the following text a proper subclass of Alexandroff topological spaces, namely functional Alexandroff topological spaces, is introduced. We discuss relation between Alexandroff spaces and functional Alexandroff spaces, functional Alexandroff spaces as dynamical systems, and other related topics.

Keywords

• Alexandroff topology,Dynamical system,Finite topology,Functional Alexandroff topology,2000 AMS Classification: 54 C50

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