Singular Sets of Minimizers for the Mumford-Shah Functional

 Foreword.- Presentation of the Mumford-Shah functional.- Functions in the Sobolev spaces.- Regularity properties for quasiminimizers.- Limits of almost-minimizers.- Pieces of C^1 curves for almost-minimizers.- Global Mumford-Shah minimizers in the plane.- Applications to almost-minimizers (n = 2).- Quasi- and almost-minimizers in higher dimensions.- Boundary regularity