Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of Large Independent-Like Sets   Let $G$ be a compact abelian group and $\Gamma$ be its discrete dual group.
For $N \in \mathbb{N}$, we define a class of independent-like sets, $N$-PR
sets, as a set in $\Gamma$ such that every $\mathbb{Z}_N$-valued function
defined on the set can be interpolated by a character in $G$.
  These sets are examples of $\varepsilon$-Kronecker sets and Sidon sets. In
this paper we study various properties of $N$-PR sets. We give a
characterization of $N$-PR sets, describe their structures and prove the
existence of large $N$-PR sets.

12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con