Classification of topologically conjugate affine mappings |
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Authors: | T V Budnyts’ka |
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Institution: | (1) Shevchenko Kyiv National University, Kyiv, Ukraine |
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Abstract: | 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.
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 1, pp. 134–139, January, 2009. |
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Keywords: | |
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