Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Whitney extension operators without loss of derivatives   For a compact set, we characterize the existence of a linear extension
operator E for the space of Whitney jets without loss of derivatives, that is,
E satisfies the best possible continuity estimates: The supremum of all partial
derivatives up to order n of E(f) is less or equal than a constant times the
n-th Whitney norm of f. The characterization is a surprisingly simple purely
geometric condition telling in a way that at all its points, the set is big
enough in all directions.

1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
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The categories of this paper are: eess
23
The categories of this paper are: solv-int