Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalization of a Baire theorem concerning barely continuous
  functions   We prove that if $X$ is a paracompact space, $Y$ is a metric space and
$f:X\to Y$ is a functionally fragmented map, then (i) $f$ is $\sigma$-discrete
and functionally $F_\sigma$-measurable; (ii) $f$ is a Baire-one function, if
$Y$ is weak adhesive and weak locally adhesive for $X$; (iii) $f$ is countably
functionally fragmented, if $X$ is Lindel\"{o}ff.
  This result generalizes one theorem of Rene Baire on classification of barely
continuous functions.

32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg