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Text File  |  1992-10-12  |  1.0 KB  |  28 lines
  1. Newsgroups: sci.math
  2. Path: sparky!uunet!charon.amdahl.com!pacbell.com!iggy.GW.Vitalink.COM!cs.widener.edu!ukma!darwin.sura.net!zaphod.mps.ohio-state.edu!sdd.hp.com!elroy.jpl.nasa.gov!ucla-cs!ucla-ma!broxton.math.ucla.edu!shteingd
  3. From: shteingd@broxton.math.ucla.edu (Semion D. Shteingold)
  4. Subject: Re: Topological Question
  5. Message-ID: <1992Oct12.230458.28097@math.ucla.edu>
  6. Sender: news@math.ucla.edu
  7. Reply-To: shteingd@broxton.math.ucla.edu (Semion D. Shteingold)
  8. Organization: UCLA Mathematics Department
  9. References:  <1992Oct12.163249.1@vmsa.technion.ac.il>
  10. Date: Mon, 12 Oct 92 23:04:58 GMT
  11. Lines: 15
  12.  
  13. In article <1992Oct12.163249.1@vmsa.technion.ac.il>,
  14. chr09tk@vmsa.technion.ac.il writes:
  15. |> Hello!
  16. |> 
  17. |> Can anyone help me with the folowing topological question:
  18. |> Is there a connected and locally connected topological space which is
  19. not path
  20. |> connected? 
  21. |> Is there such a space which is also compact?
  22. |> 
  23. |> Thanks in advance,
  24. |> Guy 
  25.  
  26. What about X={(x,sin(1/x)):x \in (0;1]}+{0}*[-1;1] ?
  27. I think it's ctd, cpt, but not linear ctd.
  28.