Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Selection Principles for Measurable Functions and Covering Properties   Let ${\mathcal A}\subset {\mathcal P}(X)$, $\emptyset, X\in {\mathcal A}$,
${\mathcal A}$ being closed under finite intersections. If
$\psi={o},\omega,\gamma$, then $\Psi({\mathcal A})$ is the family of those
$\psi$-covers ${\mathcal U}$ for which ${\mathcal U}\subseteq {\mathcal A}$.
In~\cite{BL2} I have introduced properties $(\Psi_0$ of a~family $F\subseteq
{}^XR$ of real functions. The main result of the paper Theorem reads as
follows: if~$\Phi=\Omega,\Gamma$, then for any couple $\langle
\Phi,\Psi\rangle$ different from $\langle \Omega,{\mathcal O}\rangle$, $X$ has
the covering property~{\rm S}${}_1(\Phi({\mathcal A}),\Psi({\mathcal A}))$ if
and only if the family of non-negative upper ${\mathcal A}$-semimeasurable real
functions satisfies the selection principle~{\rm S}${}_1(\Phi_0,\Psi_0)$.
Similarly for {\rm S}${}_{\scriptstyle fin}$ and {\rm U}${}_{\scriptstyle
fin}$. Some related results are also presented.

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int