TY - JOUR AU - T. V. Budnyts'ka PY - 2009/01/25 Y2 - 2024/03/28 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 -