Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Structure of Dimension Functions of Certain Continuous Fields   In this paper we study structural properties of the Cuntz semigroup and its
functionals for continuous fields of C*-algebras over finite dimensional
spaces. In a variety of cases, this leads to an answer to a conjecture posed by
Blackadar and Handelman. Enroute to our results, we determine when the stable
rank of continuous fields of C*-algebras over one dimensional spaces is one.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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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: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph