请输入您要查询的字词:

 

单词 InvarianceOfDimension
释义

invariance of dimension


The following non-trivial result was proven by Brouwer [1]around 1910 [2].

Theorem  (Invariance of dimension)Suppose U and V are open subsets of n respectively m.If U and V are non-empty and homeomorphic, then n=m.

References

  • 1 The MacTutor History of Mathematics archive, http://www-gap.dcs.st-and.ac.uk/ history/Mathematicians/Brouwer.htmlentry on Luitzen Egbertus Jan Brouwer
  • 2 A. Hatcher, Algebraic Topology, Cambridge University Press, 2002. Also availablehttp://www.math.cornell.edu/ hatcher/AT/ATpage.htmlonline.
随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 15:34:07