On Convex Peano Curve, Connected Methods and Problem

Explore a groundbreaking mathematical result in this 45-minute HyperComplex Seminar talk. Delve into the existence of a continuous surjection from the unit interval to any closed ball in Cartesian space, where the images of non-degenerate intervals are convex with non-empty interiors. Examine the construction of this function through an investigation of convex covers of the ball. Discover new methods in convex analysis and their potential applications to similar problems in important function classes. Gain insights into the speaker's recent work on the convex Peano curve and related conjectures. Learn about the implications of this research for Peano curves, an transforms, and convex sets in higher-dimensional spaces.