On the triviality of flows in Alexandroff spaces
Dynamical Systems
2022-07-26 v2 Combinatorics
General Topology
Abstract
We prove that the unique possible flow in an Alexandroff -space is the trivial one. To motivate this result, we relate Alexandroff spaces to topological hyperspaces.
Cite
@article{arxiv.2104.00894,
title = {On the triviality of flows in Alexandroff spaces},
author = {Pedro J. Chocano and Diego Mondéjar Ruiz and Manuel A. Morón and Francisco R. Ruiz del Portal},
journal= {arXiv preprint arXiv:2104.00894},
year = {2022}
}