Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Spectral Sequence for the K-theory of Tiling Spaces   Let $\Tt$ be an aperiodic and repetitive tiling of $\RM^d$ with finite local
complexity. We present a spectral sequence that converges to the $K$-theory of
$\Tt$ with $E_2$-page given by a new cohomology that will be called PV in
reference to the Pimsner-Voiculescu exact sequence. It is a generalization of
the Serre spectral sequence. The PV cohomology of $\Tt$ generalizes the
cohomology of the base space of a fibration with local coefficients in the
$K$-theory of its fiber. We prove that it is isomorphic to the \v{C}ech
cohomology of the hull of $\Tt$ (a compactification of the family of its
translates).

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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org