Classification of topologically conjugate affine mappings

Authors

  • T. V. Budnyts'ka

Abstract

We consider affine mappings from n into n,n1. 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 into and also for affine mappings from n into n,n>1, having at least one fixed point and the nonperiodic linear part.

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.