Convex Geometry Introduction

Convex Geometry (*)

Introduction

In the following pages three topics of Convex Geometry will be covered:

Borsuk's problem,
covering convex sets with smaller homothetic sets,
the illumination problem.

Translated for Atractor by a CMUC team, from its original version in Portuguese. Atractor is grateful for this cooperation.

(*) This page is adapted from a page built in the scope of the subject Monography of the fourth year of the degree in Mathematics at the Faculty of Sciences of the University of Porto by Isabel Cristina Lopes.

Difficulty level: University

ATRACTOR

Convex Geometry (*)

Introduction