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The Burnside bicategory of groupoids

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Abstract

The category of groupoids admits a “stabilization” in which the morphisms are given by the group completion of the commutative monoid of suitable bisets. In this paper we enrich this to a bicategory structure, and provide an alternative model using spans of groupoids.

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Correspondence to Haynes Miller.

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Dedicated to the memory of Gaunce Lewis, 1950–2006, and Sam Gitler, 1933–2014.

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Miller, H. The Burnside bicategory of groupoids. Bol. Soc. Mat. Mex. 23, 173–194 (2017). https://doi.org/10.1007/s40590-016-0143-5

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  • DOI: https://doi.org/10.1007/s40590-016-0143-5

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