Re: Boundary of Mandelbrot set

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Article #141

#141

From: Gerald Edgar
Date: Fri, 06 Nov 1992 19:39

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The boundary of the M-set is not a simple closed curve.  For example,
the neck at c=-3/4 disconnects the boundary (in fact the whole set).
The open question asks whether this boundary is locally connected.
-- 
  Gerald A. Edgar                Internet:  edgar@mps.ohio-state.edu
  Department of Mathematics      Bitnet:    EDGAR@OHSTPY
  The Ohio State University      telephone: 614-292-0395 (Office)
  Columbus, OH 43210             -292-4975 (Math. Dept.) -292-1479 (Dept. Fax)

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Path: arc1-ca.pugleaf.net!sparky!uunet!caen!zaphod.mps.ohio-state.edu!not-for-mail
From: edgar@function.mps.ohio-state.edu (Gerald Edgar)
Newsgroups: sci.fractals
Subject: Re: Boundary of Mandelbrot set
Date: 6 Nov 1992 14:39:26 -0500
Organization: The Ohio State University, Dept. of Math.
Lines: 9
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Message-ID: <1dehleINN6ib@function.mps.ohio-state.edu>
References: <1992Nov6.183137.20105@linus.mitre.org>
NNTP-Posting-Host: function.mps.ohio-state.edu
Keywords: circle, characterization, separation properties

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