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Spectra associated to symmetric monoidal bicategories

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 نشر من قبل Angelica Osorno
 تاريخ النشر 2010
  مجال البحث
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 تأليف Angelica Osorno




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We show how to construct a Gamma-bicategory from a symmetric monoidal bicategory, and use that to show that the classifying space is an infinite loop space upon group completion. We also show a way to relate this construction to the classic Gamma-category construction for a bipermutative category. As an example, we use this machinery to construct a delooping of the K-theory of a bimonoidal category as defined by Baas-Dundas-Rognes.



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