Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperdescent and \'etale K-theory   We study the \'etale sheafification of algebraic K-theory, called \'etale
K-theory. Our main results show that \'etale K-theory is very close to a
noncommutative invariant called Selmer K-theory, which is defined at the level
of categories. Consequently, we show that \'etale K-theory has surprisingly
well-behaved properties, integrally and without finiteness assumptions. A key
theoretical ingredient is the distinction, which we investigate in detail,
between sheaves and hypersheaves of spectra on \'etale sites.

9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: eess