Explore a mathematical lecture on Urysohn width, isoperimetric inequalities, and scalar curvature. Delve into the proof of a theorem stating the existence of a positive constant c(n) with specific properties related to metric spaces and continuous maps. Examine generalizations of this result and its connections to isoperimetric inequalities and positive scalar curvature in Riemannian geometry. Learn about the collaborative work of Liokumovich, Lishak, Nabutovsky, and Rotman in this 49-minute presentation from the Applied Algebraic Topology Network.