Uniform approximations of volume preserving homeornorphisms of R~n

A. Arbieto; M. Tavares

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Uniform approximations of volume preserving homeornorphisms of R~n

机译：R〜n的体积守恒正交性的统一逼近

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摘要

In this article we show that any conservative volume preserving homeomorphism of R~n can be approximated in the uniform topology by transitive one. We also prove some results about the approximation of such homeomorphisms by dyadic permutations, proving a version of a result due to Lax.

机译：在本文中，我们表明，在均匀拓扑中，R〜n的任何保守体积都可以近似地表示为R〜n的同胚。我们还证明了通过二进位置换近似此类同胚的一些结果，证明了Lax导致的结果的一种形式。

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《Topology and its applications》 |2014年第15期|1-11|共11页
作者
A. Arbieto; M. Tavares;
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作者单位

Instituto de Matematica, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro, Brazil;

Instituto de Matematica, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro, Brazil;

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原文格式 PDF
正文语种 eng
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关键词
Volume preserving homeomorphisms; Conservative maps; Dyadic permutations;

机译：体积保持同胚;保守的地图;二进位排列;

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Uniform approximations of volume preserving homeornorphisms of R~n

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