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Text File  |  1992-08-30  |  895 b   |  30 lines
  1. Newsgroups: sci.math.research
  2. Path: sparky!uunet!usc!sdd.hp.com!ux1.cso.uiuc.edu!news.cso.uiuc.edu!usenet
  3. From: le@fuhainf.fernuni-hagen.de
  4. Subject: PL Schoenflies Conjecture.
  5. Message-ID: <BtuHCz.2D5@fuhainf.fernuni-hagen.de>
  6. Sender: Daniel Grayson <dan@math.uiuc.edu>
  7. X-Submissions-To: sci-math-research@uiuc.edu
  8. Organization: FernUniversitaet Hagen
  9. X-Administrivia-To: sci-math-research-request@uiuc.edu
  10. Approved: Daniel Grayson <dan@math.uiuc.edu>
  11. Date: Mon, 31 Aug 1992 11:02:59 GMT
  12. Lines: 16
  13.  
  14.  
  15. Could anyone give information about the PL Schoenflies Conjecture
  16. as stated in Rushing: Topological Embeddings, AP 1973. He
  17. stated that "it is still unknown".
  18.  
  19. Let \bigsigma^{n-1} be a PL (n-1)-sphere in S^n. Then,
  20. the closures of the complementary domains of \bigsigma^{n-1}
  21. are PL n-balls.
  22.  
  23. For what n is the PL Schoenflies Conjecture valid ?
  24.  
  25. Thanks in advance.
  26.  
  27.  
  28. le@fuhainf.fernuni-hagen.de
  29.  
  30.