Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recovering unitary calculus from calculus with reality   By analogy with complex $K$--theory and $K$--theory with reality, there are
theories of unitary functor calculus and unitary functor calculus with reality,
both of which are generalisations of Weiss' orthogonal calculus. In this paper
we show that unitary functor calculus can be completely recovered from the
unitary functor calculus with reality, in analogy to how complex topological
$K$--theory is completely recovered from $K$--theory with reality via
forgetting the $C_2$--action.

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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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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: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph