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Being Van Kampen is a universal property

Pawel, Sobocinski and Heindel, Tobias (2011) Being Van Kampen is a universal property Logical Methods in Computer Science, 7, (1), pp. 1-22. (doi:10.2168/LMCS-7(1:14)2011).

Record type: Article


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.

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Published date: 31 March 2011
Organisations: DSSE


Local EPrints ID: 188449
PURE UUID: 7a225c5a-d648-460b-bc6f-b63b383c6bb4

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Date deposited: 25 May 2011 10:04
Last modified: 18 Jul 2017 11:42

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Author: Sobocinski Pawel
Author: Tobias Heindel

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