Being Van Kampen is a universal property

Autor: Pawel Sobocinski, Tobias Heindel
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Logical Methods in Computer Science, Vol Volume 7, Issue 1 (2011)
Druh dokumentu: article
ISSN: 1860-5974
DOI: 10.2168/LMCS-7(1:14)2011
Popis: Colimits that satisfy the Van Kampen condition have interesting exactness properties. We show that the elementary presentation of the Van Kampen condition is actually a characterisation of a universal property in the associated bicategory of spans. The main theorem states that Van Kampen cocones are precisely those diagrams in a category that induce bicolimit diagrams in its associated bicategory of spans, provided that the category has pullbacks and enough colimits.
Databáze: Directory of Open Access Journals