Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological stability of continuous functions with respect to averagings   We present sufficient conditions for topological stability of continuous
functions $f:\mathbb{R}\to\mathbb{R}$ having finitely many local extrema with
respect to averagings by discrete measures with finite supports.

1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
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
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph