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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

Adámek, J. and Rosický, J. (1994) Locally presentable and accessible categories, Cambridge University Press.CrossRefGoogle Scholar
Gabriel, P. and Ulmer, F. (1971) Lokal präsentierbare Kategorien. Springer-Verlag Lecture Notes in Mathematics 221.Google Scholar
Lair, C. (1981) Catégories modélables et catégories esquissables. Diagrammes 6 1–20.Google Scholar
Makkai, M. and Paré, R. (1989) Accessible categories: the foundations of categorical model theory. Contemporary Math. 104.CrossRefGoogle Scholar
Rosický, J. (1984) Categories of models. Seminarberichte Fernuniversität Hagen 19 377–413.Google Scholar
Rosický, J. (1989) Elementary categories. Arch. Math. 52 284–288.CrossRefGoogle Scholar