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Finitary sketches and finitely accessible categories*

Published online by Cambridge University Press:  04 March 2009

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

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
Copyright
Copyright © Cambridge University Press 1995

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References

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