Geometric Integration Theory

2. Basics

3. Carathéodory’s Construction and Lower-Dimensional Measures

4. Invariant Measures and the Construction of Haar Measure.

5. Covering Theorems and the Differentiation of Integrals

6. Analytical Tools: The Area Formula, the Coarea Formula, and Poincaré Inequalities.

7. The Calculus of Differential Forms and Stokes’s Theorem

8. Introduction to Currents

9. Currents and the Calculus of Variations

10. Regularity of Mass-Minimizing Currents

11. Appendix

Nyckelord: MATHEMATICS / General MAT000000