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

Jarosław Kwapisz. "Topological friction in aperiodic minimal $ℝ^m$-actions." Fundamenta Mathematicae 207.2 (2010): 175-178. <http://eudml.org/doc/282658>.

@article{JarosławKwapisz2010,
abstract = {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.},
author = {Jarosław Kwapisz},
journal = {Fundamenta Mathematicae},
keywords = {aperiodic actions; minimal action; displacement function},
language = {eng},
number = {2},
pages = {175-178},
title = {Topological friction in aperiodic minimal $ℝ^m$-actions},
url = {http://eudml.org/doc/282658},
volume = {207},
year = {2010},
}

TY - JOUR
AU - Jarosław Kwapisz
TI - Topological friction in aperiodic minimal $ℝ^m$-actions
JO - Fundamenta Mathematicae
PY - 2010
VL - 207
IS - 2
SP - 175
EP - 178
AB - 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.
LA - eng
KW - aperiodic actions; minimal action; displacement function
UR - http://eudml.org/doc/282658
ER -