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Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.

5 votes
0 answers
306 views

Federer's questions on the mass and comass norms

In Federer's book "Geometric measure theory", he says in section 1.8.3 (where $\|\cdot\|$ is the comass norm): Very little appears to be known about the structure of the convex sets $\wedge^m(\mathbb …
Quarto Bendir's user avatar
4 votes
Accepted

Hausdorff dimension and surface measure

Section 3.3.4D in Evans and Gariepy "Measure Theory and Fine Properties of Functions". Chapter 3 of Federer's "Geometric Measure Theory" is also a canonical reference.
Quarto Bendir's user avatar