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Text File  |  1992-07-23  |  632 b   |  16 lines
  1. Newsgroups: sci.math
  2. Path: sparky!uunet!noc.near.net!news.cs.brandeis.edu!binah.cc.brandeis.edu!PALAIS
  3. From: palais@binah.cc.brandeis.edu
  4. Subject: Re: Homeomorphism
  5. Message-ID: <1992Jul23.183003.12275@news.cs.brandeis.edu>
  6. Sender: news@news.cs.brandeis.edu (USENET News System)
  7. Reply-To: palais@binah.cc.brandeis.edu
  8. Organization: Brandeis University
  9. References: <_1gmcfj@lynx.unm.edu>
  10. Date: Thu, 23 Jul 1992 18:30:03 GMT
  11. Lines: 3
  12.  
  13. If you remove any point from the Real Line, the result is a space
  14. with two connected components. If you remove 0 from [0,1) the 
  15. result is (0,1), a connected space. Hence they cannot be homeomorphic.
  16.