Topological friction in aperiodic minimal ℝm-actions
Jarosław Kwapisz
Fundamenta Mathematicae, Tome 209 (2010), p. 175-178 / Harvested from The Polish Digital Mathematics Library
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For a continuous map f preserving orbits of an aperiodic ℝm-action on a compact space, its displacement function assigns to x the “time” t∈ℝm 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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:282658 
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     title = {Topological friction in aperiodic minimal $$\mathbb{R}$^m$-actions},
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     year = {2010},
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Jarosław Kwapisz. Topological friction in aperiodic minimal $ℝ^m$-actions. Fundamenta Mathematicae, Tome 209 (2010) pp. 175-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm207-2-5/