Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremality, Stationarity and Generalized Separation of Collections of
  Sets   The core arguments used in various proofs of the extremal principle and its
extensions as well as in primal and dual characterizations of approximate
stationarity and transversality of collections of sets are exposed, analyzed
and refined, leading to a unifying theory, encompassing all existing approaches
to obtaining 'extremal' statements. For that, we examine and clarify
quantitative relationships between the parameters involved in the respective
definitions and statements. Some new characterizations of extremality
properties are obtained.

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The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org