TY - JOUR
AU - T. V. Budnyts'ka
PY - 2009/01/25
Y2 - 2024/06/25
TI - Classification of topologically conjugate affine mappings
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 61
IS - 1
SE - Short communications
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3009
AB - We consider affine mappings from $ℝ^n$ into $ℝ^n, n ≥ 1$. We prove a theorem on the topological conjugacy of an affine mapping that has at least one fixed point to the corresponding linear mapping. We give a classification, up to topological conjugacy, for affine mappings from $ℝ$ into $ℝ$ and also for affine mappings from $ℝ^n$ into $ℝ^n, n > 1$, having at least one fixed point and the nonperiodic linear part.
ER -