Classification of topologically conjugate affine mappings
Abstract
We consider affine mappings from ℝn into ℝn,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 ℝn into ℝn,n>1, having at least one fixed point and the nonperiodic linear part.Downloads
Published
25.01.2009
Issue
Section
Short communications
How to Cite
Budnyts'ka, T. V. “Classification of Topologically Conjugate Affine Mappings”. Ukrains’kyi Matematychnyi Zhurnal, vol. 61, no. 1, Jan. 2009, pp. 134-9, https://umj.imath.kiev.ua/index.php/umj/article/view/3009.