Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linearly ordered compacta and Banach spaces with a projectional
  resolution of the identity   We construct a compact linearly ordered space $K$ of weight aleph one, such
that the space $C(K)$ is not isomorphic to a Banach space with a projectional
resolution of the identity, while on the other hand, $K$ is a continuous image
of a Valdivia compact and every separable subspace of $C(K)$ is contained in a
1-complemented separable subspace. This answers two questions due to O. Kalenda
and V. Montesinos.

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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: q-fin