[Fwd: two questions on the Mandelbrot set]

From: Roger Bagula (tftn_at_earthlink.net)
Date: 11/01/04 

Date: Mon, 01 Nov 2004 16:54:07 GMT

-------- Original Message --------
Subject: two questions on the Mandelbrot set
Date: Sun, 31 Oct 2004 21:47:10 -0500
From: David Bernier <david250@videotron.ca>
Reply-To: ezcos@yahoo.com
Newsgroups: sci.math

Suppose we let M denote the Mandelbrot set.

(1) How many connected components does the interior of M have?

(2) If bd(M) is the boundary of M, and S^1 = {(x,y) | x^2 + y^2 = 1},
      does there exist a continuous f: S^1 -> C (the complex plane),
      such that f(S^1) = bd(M) ?

David Bernier 

-- 
Respectfully, Roger L. Bagula
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URL :  http://home.earthlink.net/~tftn

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