Geodesic
Topological friction in aperiodic minimal $\mathbb R^m$-actions
Jarosław Kwapisz1
1 Department of Mathematical Sciences Montana State University Bozeman, MT 59717-2400, U.S.A.
Fundamenta Mathematicae, Tome 207 (2010) no. 2, pp. 175-178.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For a continuous map $f$ preserving orbits of an aperiodic $\mathbb R^m$-action on a compact space, its displacement function assigns to $x$ the “time” $t \in \mathbb R^m$ it takes to move $x$ to $f(x)$. We show that this function is continuous if the action is minimal. In particular, $f$ is homotopic to the identity along the orbits of the action.
DOI : 10.4064/fm207-2-5
Keywords: continuous map preserving orbits aperiodic mathbb m action compact space its displacement function assigns time mathbb takes move function continuous action minimal particular homotopic identity along orbits action

Jarosław Kwapisz 1

1 Department of Mathematical Sciences Montana State University Bozeman, MT 59717-2400, U.S.A. 
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Jarosław Kwapisz. Topological friction in aperiodic minimal $\mathbb R^m$-actions. Fundamenta Mathematicae, Tome 207 (2010) no. 2, pp. 175-178. doi : 10.4064/fm207-2-5. http://geodesic.mathdoc.fr/articles/10.4064/fm207-2-5/

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