Is the Mandelbrot Set Locally Connected?
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Open Question
It is not known whether the Mandelbrot set is locally connected in the complex plane $\C$.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Mandelbrot set (B. B. Mandelbrot, 1980)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Mandelbrot set (B.B. Mandelbrot, 1980)