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  1. Path: sparky!uunet!think.com!rpi!zaphod.mps.ohio-state.edu!not-for-mail
  2. From: edgar@function.mps.ohio-state.edu (Gerald Edgar)
  3. Newsgroups: sci.math
  4. Subject: Re: What a weird group!!!
  5. Date: 15 Oct 1992 08:15:00 -0400
  6. Organization: The Ohio State University, Dept. of Math.
  7. Lines: 17
  8. Message-ID: <1bjnc4INN7hp@function.mps.ohio-state.edu>
  9. References: <1992Oct15.045312.13089@galois.mit.edu>
  10. NNTP-Posting-Host: function.mps.ohio-state.edu
  11.  
  12.  
  13. >[the Bohr compactification of the real numbers]
  14.  
  15. >But what does this group *look like*??  That's what I'd like to know!!
  16.  
  17. The construction uses the Axiom of Choice, so no one knows...
  18.  
  19. For a (perhaps) simpler warm-up, try the Bohr compactification of the
  20. integers.
  21.  
  22. Or, before you tackle visualizing that, how about visualizing the
  23. Stone-Cech compactification of the integers?
  24. -- 
  25.   Gerald A. Edgar                Internet:  edgar@mps.ohio-state.edu
  26.   Department of Mathematics      Bitnet:    EDGAR@OHSTPY
  27.   The Ohio State University      telephone: 614-292-0395 (Office)
  28.   Columbus, OH 43210             -292-4975 (Math. Dept.) -292-1479 (Dept. Fax)
  29.