Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fatou's Lemma, Galerkin Approximations and the Existence of Walrasian
  Equilibria in Infinite Dimensions   This essay has three objectives: (i) to report recent generalizations of
Fatou's lemma to multi-functions taking values in a Banach space, and framed in
terms of both Bochner and Gelfand integration; (ii) to delineate the importance
of Galerkin approximations in Walrasian general equilibrium theory with a
continuum of agents and commodities; and thereby (iii) to present two new
results on the existence of a Walrasian equilibrium in economies where the
continuum of agents is formalized as a saturated measure space.

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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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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: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an