Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Conflicting Ordering Cones and Vector Optimization in Inductive
  Limits   Let $(E,\xi)={\rm ind}(E_n, \xi_n)$ be an inductive limit of a sequence
$(E_n, \xi_n)_{n\in N}$ of locally convex spaces and let every step $(E_n,
\xi_n)$ be endowed with a partial order by a pointed convex (solid) cone $S_n$.
In the framework of inductive limits of partially ordered locally convex
spaces, the notions of lastingly efficient points, lastingly weakly efficient
points and lastingly globally properly efficient points are introduced. For
several ordering cones, the notion of non-conflict is introduced. Under the
requirement that the sequence $(S_n)_{n\in N}$ of ordering cones is
non-conflicting, an existence theorem on lastingly weakly efficient points is
presented. From this, an existence theorem on lastingly globally properly
efficient points is deduced.

4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int