This year the International Mathematical Olympiad took place in Slovenia. I participated as one of the organizers (problem selection and coordination). It was probably one of the busiest and most exciting times of my life,
With Alex Simpson.
Abstract: We present a constructive meta-theorem about sequential continuity which allows us to conclude from a constructive proof of existence of a function between complete metric spaces satisfying a given system of (functional) equations that there also exists a sequentially continuous function satisfying the system.
Presented at: Trends in Constructive mathematics, Frauenwörth am Chimsee, Germany, June 2006.
Download slides: continuity_begets_continuity_bavaria_slides.pdf
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