Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semialgebraic Solutions of Linear Equations with Continuous
  Semialgebraic Coefficients   Starting from the studies proposed by Charles Fefferman and Janos Kollar in
"Continuous Solutions of Linear Equations", we generalise and prove, by using
Fefferman's techniques, a part of the result shown by Kollar. In particular,
considered a system of linear equation with continuous and semialgebraic
coefficient, we find that a continuous and semialgebraic solution exists if and
only if there is a continuous solution and a semialgebraic one (they may
possibly be different), under the hypothesis that the projection of a solution
on the fibers of the singular affine bundle associated to the system is
discontinuous at most at isolated points.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: cond-mat