Topological classification of affine operators on unitary and Euclidean spaces
General Topology
2010-10-19 v1 Dynamical Systems
Representation Theory
Abstract
We classify affine operators on a unitary or Euclidean space U up to topological conjugacy. An affine operator is a map f: U-->U of the form f(x)=Ax+b, in which A: U-->U is a linear operator and b in U. Two affine operators f and g are said to be topologically conjugate if hg=fh for some homeomorphism h: U-->U.
Cite
@article{arxiv.1010.3380,
title = {Topological classification of affine operators on unitary and Euclidean spaces},
author = {Tetiana Budnitska},
journal= {arXiv preprint arXiv:1010.3380},
year = {2010}
}