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Article #50PL Schoenflies Conjecture.
From: le
Date: Mon, 31 Aug 1992 11:02
Date: Mon, 31 Aug 1992 11:02
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922 bytes
Could anyone give information about the PL Schoenflies Conjecture
as stated in Rushing: Topological Embeddings, AP 1973. He
stated that "it is still unknown".
Let \bigsigma^{n-1} be a PL (n-1)-sphere in S^n. Then,
the closures of the complementary domains of \bigsigma^{n-1}
are PL n-balls.
For what n is the PL Schoenflies Conjecture valid ?
Thanks in advance.
le@fuhainf.fernuni-hagen.de
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Newsgroups: sci.math.research Path: arc1-ca.pugleaf.net!sparky!uunet!usc!sdd.hp.com!ux1.cso.uiuc.edu!news.cso.uiuc.edu!usenet From: le@fuhainf.fernuni-hagen.de Subject: PL Schoenflies Conjecture. Message-ID: <BtuHCz.2D5@fuhainf.fernuni-hagen.de> Sender: Daniel Grayson <dan@math.uiuc.edu> X-Submissions-To: sci-math-research@uiuc.edu Organization: FernUniversitaet Hagen X-Administrivia-To: sci-math-research-request@uiuc.edu Approved: Daniel Grayson <dan@math.uiuc.edu> Date: Mon, 31 Aug 1992 11:02:59 GMT Lines: 16