OK when saying "the" Mandelbrot set we usually mean "that" one i. e. the one given by the form

so the relation is with the quadratic Julia sets. As for the map, it's definitely surjective over the quadatic Julia sets, by definition, so if the map is injective then it's also bijective.

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Inutil insegnà al mus, si piart timp, in plui si infastidìs la bestie.
Hypography Forum PITA...... er, Administrator.
