Span and cospan representations of weak double categories

Span and cospan representations of weak double categories

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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.

Bibliographic Details
Main Authors: Marco Grandis, Robert Par'e
Format: Article
Language:English
Published: Shahid Beheshti University 2017-01-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Double category
tabulator
span
Online Access:http://www.cgasa.ir/article_39606_b35c476a103000cd063c479026904e91.pdf
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spelling doaj-48511510da3f4ca69976d87667c8f18d2020-11-24T23:31:26ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612017-01-016Speical Issue on the Occasion of Banaschewski's 90th Birthday (I)8510539606Span 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_b35c476a103000cd063c479026904e91.pdfDouble categorytabulatorspan
collection DOAJ
language English
format Article
sources DOAJ
author Marco Grandis
Robert Par'e
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
author_facet Marco Grandis
Robert Par'e
author_sort Marco Grandis
title Span and cospan representations of weak double categories
title_short 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_sort span and cospan representations of weak double categories
publisher Shahid Beheshti University
series Categories and General Algebraic Structures with Applications
issn 2345-5853
2345-5861
publishDate 2017-01-01
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.
topic Double category
tabulator
span
url http://www.cgasa.ir/article_39606_b35c476a103000cd063c479026904e91.pdf
work_keys_str_mv AT marcograndis spanandcospanrepresentationsofweakdoublecategories
AT robertpar039e spanandcospanrepresentationsofweakdoublecategories
_version_ 1725538086487588864

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