A Julia set with the topology of a Cantor set is known as this French mathematician’s ‘dust’. For 10 points each:
[10h] Name this mathematician. A lemma named for this person says that the Lebesgue (“le-BEG”) integral of the lim inf of a sequence of non-negative measurable functions is bounded by the lim inf of their integrals.
ANSWER: Pierre Fatou
[10e] The Cantor set is an example of these objects that also include most quadratic Julia sets and the Koch snowflake. The term for these objects reflects that they may have non-integer Hausdorff dimension and was coined by Mandelbrot.
ANSWER: fractals
[10m] Among the fractals named after this Polish mathematician are their ‘carpet’, a two-dimensional analogue of the Cantor set, and their ‘gasket’, formed by repeatedly subdividing an equilateral triangle into smaller ones.
ANSWER: Wacław Sierpiński (“VATS-wahf shehr-PEEN-skee”)