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Quasi-coproducts and accessible categories with wide pullbacks

✍ Scribed by Hongde Hu; Walter Tholen

Publisher
Springer
Year
1996
Tongue
English
Weight
834 KB
Volume
4
Category
Article
ISSN
0927-2852

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✦ Synopsis

We establish a 2-categorical duality involving the 2-category .A,~ of all to-accessible categories with wide pullbacks, also known as locally tc-polypresentable categories, and of functors preserving ~Β’-filtered colimits and wide puUbacks. Commutation of wide pullbacks with so-called quasi-coproducts in Set is the basic ingredient to this duality, which leads to a full characterization of categories of type Wdpb Filt,~(A, Set) = .A,~

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