On the triviality of flows in Alexandroff spaces

We prove that the unique possible flow in an Alexandroff T0-space is the trivial one. To motivate this result, we relate Alexandroff spaces to topological hyperspaces.

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Bibliographic Details
Published in:Topology and its applications 2023-11, Vol.339, p.108580, Article 108580
Main Authors: Chocano, Pedro J., Mondéjar Ruiz, Diego, Morón, Manuel A., Ruiz del Portal, Francisco R.
Format: Article
Language:English
Subjects:
Alexandroff spaces
Flows
Hyperspaces
Posets
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Description
Summary:We prove that the unique possible flow in an Alexandroff T0-space is the trivial one. To motivate this result, we relate Alexandroff spaces to topological hyperspaces.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2023.108580