Bedlewo- On a Problem of Whitney and the Retract Theorem of Ważewski

Explore a lecture delving into Whitney's inverted pendulum problem and its connection to Ważewski's retract theorem. Discover the historical controversy surrounding the solution presented in Courant and Robbins' "What is Mathematics?" and learn how familiarity with Ważewski's theorem could have prevented the debate. Examine Ivan Polekhin's 2014 publication, which provided the first rigorous argument based on Courant and Robbins' original idea. Gain insights into the intersection of classical mechanics and topology through this in-depth discussion of a problem that has intrigued mathematicians for decades.