• Introduction
  • 1 Loops ▶
    • 1.1 Introduction
    • 1.2 Surrounding points
    • 1.3 Constructing loops
  • 2 Local theory of convex integration ▶
    • 2.1 Key construction
    • 2.2 The main inductive step
    • 2.3 Ample differential relations
  • 3 Global theory of open and ample relations ▶
    • 3.1 Preliminaries
    • 3.2 First order differential relations
    • 3.3 The \(h\)-principle for open and ample differential relations
  • A Local sphere eversion
  • B From local to global
  • Dependency graph

The sphere eversion project

Patrick Massot Oliver Nash Floris van Doorn

  • Introduction
  • 1 Loops
    • 1.1 Introduction
    • 1.2 Surrounding points
    • 1.3 Constructing loops
  • 2 Local theory of convex integration
    • 2.1 Key construction
    • 2.2 The main inductive step
    • 2.3 Ample differential relations
  • 3 Global theory of open and ample relations
    • 3.1 Preliminaries
    • 3.2 First order differential relations
    • 3.3 The \(h\)-principle for open and ample differential relations
  • A Local sphere eversion
  • B From local to global