Topological friction in aperiodic minimal $ℝ^m$-actions

• Autorzy: Jarosław Kwapisz
• Języki publikacji: EN

Abstrakty

EN

For a continuous map f preserving orbits of an aperiodic $ℝ^m$-action on a compact space, its displacement function assigns to x the "time" $t ∈ ℝ^m$ 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.

Kategorie tematyczne

• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2010
• Tom: 207
• Numer: 2
• Strony: 175-178

Daty

wydano

2010

Twórcy

autor

Jarosław Kwapisz

• Department of Mathematical Sciences, Montana State University, Bozeman, MT 59717-2400, U.S.A.

Identyfikatory

DOI

10.4064/fm207-2-5