The Burnside bicategory of groupoids
© 2016, Sociedad Matemática Mexicana. 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 grou...
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| Format: | Article |
| Language: | English |
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Springer Nature
2021
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| Online Access: | https://hdl.handle.net/1721.1/135839 |
| _version_ | 1826209914300661760 |
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| author | Miller, Haynes |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Miller, Haynes |
| author_sort | Miller, Haynes |
| collection | MIT |
| description | © 2016, Sociedad Matemática Mexicana. 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. |
| first_indexed | 2024-09-23T14:35:11Z |
| format | Article |
| id | mit-1721.1/135839 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:35:11Z |
| publishDate | 2021 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | mit-1721.1/1358392023-03-15T17:14:39Z The Burnside bicategory of groupoids Miller, Haynes Massachusetts Institute of Technology. Department of Mathematics © 2016, Sociedad Matemática Mexicana. 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. 2021-10-27T20:29:35Z 2021-10-27T20:29:35Z 2017 2019-11-14T20:03:31Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/135839 en 10.1007/S40590-016-0143-5 Boletín de la Sociedad Matemática Mexicana Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer Nature MIT web domain |
| spellingShingle | Miller, Haynes The Burnside bicategory of groupoids |
| title | The Burnside bicategory of groupoids |
| title_full | The Burnside bicategory of groupoids |
| title_fullStr | The Burnside bicategory of groupoids |
| title_full_unstemmed | The Burnside bicategory of groupoids |
| title_short | The Burnside bicategory of groupoids |
| title_sort | burnside bicategory of groupoids |
| url | https://hdl.handle.net/1721.1/135839 |
| work_keys_str_mv | AT millerhaynes theburnsidebicategoryofgroupoids AT millerhaynes burnsidebicategoryofgroupoids |