## Moser asked whether the collection of rectangles of dimensions .., whose total area equals 1, can be packed into the unit square without overlap, and whether the collection of squares of side lengths 1 2 , 1 3 , 1 4 , ... can be packed without overlap into a rectangle of area p 2 /6 -1. Computa
โฆ LIBER โฆ
Compactness theorems for differential forms
โ Scribed by S. Kichenassamy
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 290 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
โฆ Synopsis
We prove compactness properties of various sets of differential forms with bounds on their exterior derivatives. This gives simple proofs of the Federer-Fleming result on normal currents and of "compensated compactness" lemmas.
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