Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Berkani's property and a note on some recent results   In this paper, we continue the study of property $(UW_{\Pi})$ introduced in
\cite{berkani2}, in connection with other Weyl type theorems. Moreover, we give
counterexamples to show that some recent results related to this property,
which are announced and proved by P. Aiena and M. Kachad in \cite{aiena1} are
false. Furthermore, we specify the mistakes committed in each of them and we
give the correct versions. We also give a global note on the paper
\cite{jayanthi}.

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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol