@article{Budnyts’ka_2009, title={Classification of topologically conjugate affine mappings}, volume={61}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3009}, abstractNote={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.}, number={1}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Budnyts’ka, T. V.}, year={2009}, month={Jan.}, pages={134-139} }