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MLC conjecture

The MLC Conjecture - Mandelbrot Locally Connected - suggests that the fractal, known as the Mandelbrot Set is 'locally connected'.

'Locally Connected' in this instance is defined thus :

A topological space is locally connected at the point x if every neighborhood of x contains a connected open neighborhood. It is called locally connected if it is locally connected at every point."

Source Wolfram Mathworld

The conjecture remains 'open' - i.e has neither been proved or disproved.

See Wikipedia


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