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Article #45Re: Union of locally flat cells.
From: john klein
Date: Fri, 28 Aug 1992 14:01
Date: Fri, 28 Aug 1992 14:01
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1460 bytes
In article <BtowMx.M9p@fuhainf.fernuni-hagen.de> le@tinosfernuni-hagen.de writes: > > 1. Can anyone give information about the current status > of the "annulus conjecture" ? > Rushing stated in his book "Topological Embeddings, AP 1973" > that "it is still unknown for n=4". > > 2. Is the \beta-statement \beta(n,n-1,n-1,n-2) true for n=3 ? > If not, under what additional conditions it it true ? > Rushing states in his book that it is true for n > 3. > > Any suggestions, hints are welcome. > > Thanks in advance. I believe that Quinn proved the 4-dimensional annulus conjecture. The paper was published in the Journal of Differential Geometry (1984?). The precise reference is in the Freedman-Quinn book "Topology of 4-manifolds" (Princeton , 1991) Andrew Ranicki
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Path: arc1-ca.pugleaf.net!sparky!uunet!olivea!decwrl!sdd.hp.com!ux1.cso.uiuc.edu!news.cso.uiuc.edu!usenet From: klein@math205.mathematik.uni-bielefeld.de (john klein) Newsgroups: sci.math.research Subject: Re: Union of locally flat cells. Message-ID: <1992Aug28.140124.27749@unibi.uni-bielefeld.de> Date: 28 Aug 92 14:01:24 GMT References: <BtowMx.M9p@fuhainf.fernuni-hagen.de> Sender: Daniel Grayson <dan@math.uiuc.edu> Organization: Universitaet Bielefeld Lines: 21 Approved: Daniel Grayson <dan@math.uiuc.edu> Nntp-Posting-Host: math205.mathematik.uni-bielefeld.de X-Submissions-To: sci-math-research@uiuc.edu X-Administrivia-To: sci-math-research-request@uiuc.edu