Span and cospan representations of weak double categories
We prove that many important weak double categories can be `represented' by spans, using the basic higher limit of the theory: the tabulator. Dually, representations by cospans via cotabulators are also frequent.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Shahid Beheshti University
2017-01-01
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| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | http://www.cgasa.ir/article_39606.html |
| _version_ | 1819236961678786560 |
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| author | Marco Grandis Robert Par'e |
| author_facet | Marco Grandis Robert Par'e |
| author_sort | Marco Grandis |
| collection | DOAJ |
| description | We prove that many important weak double categories can be `represented' by spans, using the basic higher limit of the theory: the tabulator. Dually, representations by cospans via cotabulators are also frequent. |
| first_indexed | 2024-12-23T13:12:45Z |
| format | Article |
| id | doaj.art-344b3a5ab7b94ab480c25bd83d24d4af |
| institution | Directory Open Access Journal |
| issn | 2345-5853 2345-5861 |
| language | English |
| last_indexed | 2024-12-23T13:12:45Z |
| publishDate | 2017-01-01 |
| publisher | Shahid Beheshti University |
| record_format | Article |
| series | Categories and General Algebraic Structures with Applications |
| spelling | doaj.art-344b3a5ab7b94ab480c25bd83d24d4af2022-12-21T17:45:42ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612017-01-016185105Span and cospan representations of weak double categoriesMarco Grandis0Robert Par'e1Dipartimento di Matematica, Universit`a di Genova, Via Dodecaneso 35, 16146-Genova, ItalyDepartment of Mathematics and Statistics, Dalhousie University, Halifax NS, Canada B3H 4R2We prove that many important weak double categories can be `represented' by spans, using the basic higher limit of the theory: the tabulator. Dually, representations by cospans via cotabulators are also frequent.http://www.cgasa.ir/article_39606.htmlDouble categorytabulatorspan.span |
| spellingShingle | Marco Grandis Robert Par'e Span and cospan representations of weak double categories Categories and General Algebraic Structures with Applications Double category tabulator span. span |
| title | Span and cospan representations of weak double categories |
| title_full | Span and cospan representations of weak double categories |
| title_fullStr | Span and cospan representations of weak double categories |
| title_full_unstemmed | Span and cospan representations of weak double categories |
| title_short | Span and cospan representations of weak double categories |
| title_sort | span and cospan representations of weak double categories |
| topic | Double category tabulator span. span |
| url | http://www.cgasa.ir/article_39606.html |
| work_keys_str_mv | AT marcograndis spanandcospanrepresentationsofweakdoublecategories AT robertpare spanandcospanrepresentationsofweakdoublecategories |