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Finitary sketches and finitely accessible categories*

Published online by Cambridge University Press:  04 March 2009

Jiří Adámek  and
Jiří Rosický
Jiří Adámek
Affiliation:
Czech Technical University, Technická 2, 166 27 Praha 6, Czech Republic
Jiří Rosický
Affiliation:
Masaryk University, Janáčkovo nám. 2a, 662 95 Brno, Czech Republic
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Abstract

Every accessible category is proved to be sketchable by a sketch with finite colimits. In contrast, a finitely accessible category is presented that cannot be sketched by a finitary sketch, i.e., a sketch with finite limits and finite colimits. Also, a category sketchable by a finitary sketch is found that is not finitely accessible.

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 5 , Issue 3 , September 1995 , pp. 315 - 322
Copyright
Copyright © Cambridge University Press 1995

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References

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